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Finding the Fourth Proportional to 972.31, 1,458.21 and 424.38

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Solution

The fourth proportional to 972.31, 1,458.21 and 424.38 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.31 : 1,458.21 = 424.38 : x
  2. Step 2: Convert to fraction form
    972.31/1,458.21 = 424.38/x
  3. Step 3: Cross multiply
    972.31x = 1,458.21 × 424.38
  4. Step 4: Simplify right side
    972.31x = 618,835.16
  5. Step 5: Solve for x
    x = 618,835.16/972.31
  6. Step 6: Final answer
    x = 636.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.