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Finding the Fourth Proportional to 784.24, 1,082.24 and 452.76

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Solution

The fourth proportional to 784.24, 1,082.24 and 452.76 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.24 : 1,082.24 = 452.76 : x
  2. Step 2: Convert to fraction form
    784.24/1,082.24 = 452.76/x
  3. Step 3: Cross multiply
    784.24x = 1,082.24 × 452.76
  4. Step 4: Simplify right side
    784.24x = 489,994.98
  5. Step 5: Solve for x
    x = 489,994.98/784.24
  6. Step 6: Final answer
    x = 624.80

Related Problems

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Half scale
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Double scale
Find fourth proportional to 785.24, 1,083.62 and 453.76
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.