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Finding the Fourth Proportional to 564.52, 841.88 and 491.80

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Solution

The fourth proportional to 564.52, 841.88 and 491.80 is: 733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.52 : 841.88 = 491.80 : x
  2. Step 2: Convert to fraction form
    564.52/841.88 = 491.80/x
  3. Step 3: Cross multiply
    564.52x = 841.88 × 491.80
  4. Step 4: Simplify right side
    564.52x = 414,036.58
  5. Step 5: Solve for x
    x = 414,036.58/564.52
  6. Step 6: Final answer
    x = 733.43

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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.