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Finding the Fourth Proportional to 917.98, 1,375.92 and 456.08

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Solution

The fourth proportional to 917.98, 1,375.92 and 456.08 is: 683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.98 : 1,375.92 = 456.08 : x
  2. Step 2: Convert to fraction form
    917.98/1,375.92 = 456.08/x
  3. Step 3: Cross multiply
    917.98x = 1,375.92 × 456.08
  4. Step 4: Simplify right side
    917.98x = 627,522.71
  5. Step 5: Solve for x
    x = 627,522.71/917.98
  6. Step 6: Final answer
    x = 683.59

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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.