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Finding the Fourth Proportional to 972.47, 1,459.49 and 424.58

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Solution

The fourth proportional to 972.47, 1,459.49 and 424.58 is: 637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.47 : 1,459.49 = 424.58 : x
  2. Step 2: Convert to fraction form
    972.47/1,459.49 = 424.58/x
  3. Step 3: Cross multiply
    972.47x = 1,459.49 × 424.58
  4. Step 4: Simplify right side
    972.47x = 619,660.84
  5. Step 5: Solve for x
    x = 619,660.84/972.47
  6. Step 6: Final answer
    x = 637.20

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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.