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Finding the Fourth Proportional to 652.80, 972.80 and 595.20

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Solution

The fourth proportional to 652.80, 972.80 and 595.20 is: 886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.80 : 972.80 = 595.20 : x
  2. Step 2: Convert to fraction form
    652.80/972.80 = 595.20/x
  3. Step 3: Cross multiply
    652.80x = 972.80 × 595.20
  4. Step 4: Simplify right side
    652.80x = 579,010.56
  5. Step 5: Solve for x
    x = 579,010.56/652.80
  6. Step 6: Final answer
    x = 886.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.