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Finding the Fourth Proportional to 652.48, 977.96 and 392.33

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Solution

The fourth proportional to 652.48, 977.96 and 392.33 is: 588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.48 : 977.96 = 392.33 : x
  2. Step 2: Convert to fraction form
    652.48/977.96 = 392.33/x
  3. Step 3: Cross multiply
    652.48x = 977.96 × 392.33
  4. Step 4: Simplify right side
    652.48x = 383,686.47
  5. Step 5: Solve for x
    x = 383,686.47/652.48
  6. Step 6: Final answer
    x = 588.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.