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Finding the Fourth Proportional to 784.39, 1,082.28 and 532.35

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Solution

The fourth proportional to 784.39, 1,082.28 and 532.35 is: 734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.39 : 1,082.28 = 532.35 : x
  2. Step 2: Convert to fraction form
    784.39/1,082.28 = 532.35/x
  3. Step 3: Cross multiply
    784.39x = 1,082.28 × 532.35
  4. Step 4: Simplify right side
    784.39x = 576,151.76
  5. Step 5: Solve for x
    x = 576,151.76/784.39
  6. Step 6: Final answer
    x = 734.52

Related Problems

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Half scale
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Double scale
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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.