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Finding the Fourth Proportional to 473.57, 713.87 and 432.56

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Solution

The fourth proportional to 473.57, 713.87 and 432.56 is: 652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.57 : 713.87 = 432.56 : x
  2. Step 2: Convert to fraction form
    473.57/713.87 = 432.56/x
  3. Step 3: Cross multiply
    473.57x = 713.87 × 432.56
  4. Step 4: Simplify right side
    473.57x = 308,785.88
  5. Step 5: Solve for x
    x = 308,785.88/473.57
  6. Step 6: Final answer
    x = 652.05

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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.