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Finding the Fourth Proportional to 962.70, 1,328.08 and 589.53

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Solution

The fourth proportional to 962.70, 1,328.08 and 589.53 is: 813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.70 : 1,328.08 = 589.53 : x
  2. Step 2: Convert to fraction form
    962.70/1,328.08 = 589.53/x
  3. Step 3: Cross multiply
    962.70x = 1,328.08 × 589.53
  4. Step 4: Simplify right side
    962.70x = 782,943.00
  5. Step 5: Solve for x
    x = 782,943.00/962.70
  6. Step 6: Final answer
    x = 813.28

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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.