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Finding the Fourth Proportional to 532.87, 734.84 and 502.12

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Solution

The fourth proportional to 532.87, 734.84 and 502.12 is: 692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.87 : 734.84 = 502.12 : x
  2. Step 2: Convert to fraction form
    532.87/734.84 = 502.12/x
  3. Step 3: Cross multiply
    532.87x = 734.84 × 502.12
  4. Step 4: Simplify right side
    532.87x = 368,977.86
  5. Step 5: Solve for x
    x = 368,977.86/532.87
  6. Step 6: Final answer
    x = 692.44

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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.