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Finding the Fourth Proportional to 784.17, 1,082.21 and 434.88

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Solution

The fourth proportional to 784.17, 1,082.21 and 434.88 is: 600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.17 : 1,082.21 = 434.88 : x
  2. Step 2: Convert to fraction form
    784.17/1,082.21 = 434.88/x
  3. Step 3: Cross multiply
    784.17x = 1,082.21 × 434.88
  4. Step 4: Simplify right side
    784.17x = 470,629.31
  5. Step 5: Solve for x
    x = 470,629.31/784.17
  6. Step 6: Final answer
    x = 600.16

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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.