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Finding the Fourth Proportional to 523.16, 721.24 and 434.32

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Solution

The fourth proportional to 523.16, 721.24 and 434.32 is: 598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.16 : 721.24 = 434.32 : x
  2. Step 2: Convert to fraction form
    523.16/721.24 = 434.32/x
  3. Step 3: Cross multiply
    523.16x = 721.24 × 434.32
  4. Step 4: Simplify right side
    523.16x = 313,248.96
  5. Step 5: Solve for x
    x = 313,248.96/523.16
  6. Step 6: Final answer
    x = 598.76

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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.