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Finding the Fourth Proportional to 972.12, 1,456.73 and 424.01

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Solution

The fourth proportional to 972.12, 1,456.73 and 424.01 is: 635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.12 : 1,456.73 = 424.01 : x
  2. Step 2: Convert to fraction form
    972.12/1,456.73 = 424.01/x
  3. Step 3: Cross multiply
    972.12x = 1,456.73 × 424.01
  4. Step 4: Simplify right side
    972.12x = 617,658.68
  5. Step 5: Solve for x
    x = 617,658.68/972.12
  6. Step 6: Final answer
    x = 635.37

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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.