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Finding the Fourth Proportional to 461.43, 695.52 and 432.81

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Solution

The fourth proportional to 461.43, 695.52 and 432.81 is: 652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.43 : 695.52 = 432.81 : x
  2. Step 2: Convert to fraction form
    461.43/695.52 = 432.81/x
  3. Step 3: Cross multiply
    461.43x = 695.52 × 432.81
  4. Step 4: Simplify right side
    461.43x = 301,028.01
  5. Step 5: Solve for x
    x = 301,028.01/461.43
  6. Step 6: Final answer
    x = 652.38

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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.