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Finding the Fourth Proportional to 432.31, 595.48 and 402.51

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Solution

The fourth proportional to 432.31, 595.48 and 402.51 is: 554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.31 : 595.48 = 402.51 : x
  2. Step 2: Convert to fraction form
    432.31/595.48 = 402.51/x
  3. Step 3: Cross multiply
    432.31x = 595.48 × 402.51
  4. Step 4: Simplify right side
    432.31x = 239,686.65
  5. Step 5: Solve for x
    x = 239,686.65/432.31
  6. Step 6: Final answer
    x = 554.43

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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.