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Finding the Fourth Proportional to 784.76, 1,082.69 and 453.27

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Solution

The fourth proportional to 784.76, 1,082.69 and 453.27 is: 625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.76 : 1,082.69 = 453.27 : x
  2. Step 2: Convert to fraction form
    784.76/1,082.69 = 453.27/x
  3. Step 3: Cross multiply
    784.76x = 1,082.69 × 453.27
  4. Step 4: Simplify right side
    784.76x = 490,750.90
  5. Step 5: Solve for x
    x = 490,750.90/784.76
  6. Step 6: Final answer
    x = 625.35

Related Problems

Find fourth proportional to 392.38, 541.35 and 226.64
Half scale
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Double scale
Find fourth proportional to 785.76, 1,084.07 and 454.27
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.