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Finding the Fourth Proportional to 647.52, 974.88 and 538.80

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Solution

The fourth proportional to 647.52, 974.88 and 538.80 is: 811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.52 : 974.88 = 538.80 : x
  2. Step 2: Convert to fraction form
    647.52/974.88 = 538.80/x
  3. Step 3: Cross multiply
    647.52x = 974.88 × 538.80
  4. Step 4: Simplify right side
    647.52x = 525,265.34
  5. Step 5: Solve for x
    x = 525,265.34/647.52
  6. Step 6: Final answer
    x = 811.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.