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Finding the Fourth Proportional to 652.34, 977.09 and 469.28

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Solution

The fourth proportional to 652.34, 977.09 and 469.28 is: 702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.34 : 977.09 = 469.28 : x
  2. Step 2: Convert to fraction form
    652.34/977.09 = 469.28/x
  3. Step 3: Cross multiply
    652.34x = 977.09 × 469.28
  4. Step 4: Simplify right side
    652.34x = 458,521.56
  5. Step 5: Solve for x
    x = 458,521.56/652.34
  6. Step 6: Final answer
    x = 702.89

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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.