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Finding the Fourth Proportional to 475.32, 715.98 and 424.56

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Solution

The fourth proportional to 475.32, 715.98 and 424.56 is: 639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.32 : 715.98 = 424.56 : x
  2. Step 2: Convert to fraction form
    475.32/715.98 = 424.56/x
  3. Step 3: Cross multiply
    475.32x = 715.98 × 424.56
  4. Step 4: Simplify right side
    475.32x = 303,976.47
  5. Step 5: Solve for x
    x = 303,976.47/475.32
  6. Step 6: Final answer
    x = 639.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.