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Finding the Fourth Proportional to 962.20, 1,328.54 and 589.69

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Solution

The fourth proportional to 962.20, 1,328.54 and 589.69 is: 814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.20 : 1,328.54 = 589.69 : x
  2. Step 2: Convert to fraction form
    962.20/1,328.54 = 589.69/x
  3. Step 3: Cross multiply
    962.20x = 1,328.54 × 589.69
  4. Step 4: Simplify right side
    962.20x = 783,426.75
  5. Step 5: Solve for x
    x = 783,426.75/962.20
  6. Step 6: Final answer
    x = 814.20

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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.