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Finding the Fourth Proportional to 519.32, 715.86 and 429.74

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Solution

The fourth proportional to 519.32, 715.86 and 429.74 is: 592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 715.86 = 429.74 : x
  2. Step 2: Convert to fraction form
    519.32/715.86 = 429.74/x
  3. Step 3: Cross multiply
    519.32x = 715.86 × 429.74
  4. Step 4: Simplify right side
    519.32x = 307,633.68
  5. Step 5: Solve for x
    x = 307,633.68/519.32
  6. Step 6: Final answer
    x = 592.38

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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.