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Finding the Fourth Proportional to 748.59, 1,122.45 and 316.05

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Solution

The fourth proportional to 748.59, 1,122.45 and 316.05 is: 473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.59 : 1,122.45 = 316.05 : x
  2. Step 2: Convert to fraction form
    748.59/1,122.45 = 316.05/x
  3. Step 3: Cross multiply
    748.59x = 1,122.45 × 316.05
  4. Step 4: Simplify right side
    748.59x = 354,750.32
  5. Step 5: Solve for x
    x = 354,750.32/748.59
  6. Step 6: Final answer
    x = 473.89

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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.