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Finding the Fourth Proportional to 901.82, 1,349.58 and 624.47

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Solution

The fourth proportional to 901.82, 1,349.58 and 624.47 is: 934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.82 : 1,349.58 = 624.47 : x
  2. Step 2: Convert to fraction form
    901.82/1,349.58 = 624.47/x
  3. Step 3: Cross multiply
    901.82x = 1,349.58 × 624.47
  4. Step 4: Simplify right side
    901.82x = 842,765.47
  5. Step 5: Solve for x
    x = 842,765.47/901.82
  6. Step 6: Final answer
    x = 934.52

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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.