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Finding the Fourth Proportional to 473.76, 713.15 and 432.24

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Solution

The fourth proportional to 473.76, 713.15 and 432.24 is: 650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 713.15 = 432.24 : x
  2. Step 2: Convert to fraction form
    473.76/713.15 = 432.24/x
  3. Step 3: Cross multiply
    473.76x = 713.15 × 432.24
  4. Step 4: Simplify right side
    473.76x = 308,249.79
  5. Step 5: Solve for x
    x = 308,249.79/473.76
  6. Step 6: Final answer
    x = 650.65

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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.