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Finding the Fourth Proportional to 743.16, 1,025.52 and 428.43

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Solution

The fourth proportional to 743.16, 1,025.52 and 428.43 is: 591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.16 : 1,025.52 = 428.43 : x
  2. Step 2: Convert to fraction form
    743.16/1,025.52 = 428.43/x
  3. Step 3: Cross multiply
    743.16x = 1,025.52 × 428.43
  4. Step 4: Simplify right side
    743.16x = 439,363.53
  5. Step 5: Solve for x
    x = 439,363.53/743.16
  6. Step 6: Final answer
    x = 591.21

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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.