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Finding the Fourth Proportional to 962.28, 1,327.90 and 589.89

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Solution

The fourth proportional to 962.28, 1,327.90 and 589.89 is: 814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.28 : 1,327.90 = 589.89 : x
  2. Step 2: Convert to fraction form
    962.28/1,327.90 = 589.89/x
  3. Step 3: Cross multiply
    962.28x = 1,327.90 × 589.89
  4. Step 4: Simplify right side
    962.28x = 783,314.93
  5. Step 5: Solve for x
    x = 783,314.93/962.28
  6. Step 6: Final answer
    x = 814.02

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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.