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Finding the Fourth Proportional to 917.40, 1,377.24 and 765.19

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Solution

The fourth proportional to 917.40, 1,377.24 and 765.19 is: 1,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.40 : 1,377.24 = 765.19 : x
  2. Step 2: Convert to fraction form
    917.40/1,377.24 = 765.19/x
  3. Step 3: Cross multiply
    917.40x = 1,377.24 × 765.19
  4. Step 4: Simplify right side
    917.40x = 1,053,850.28
  5. Step 5: Solve for x
    x = 1,053,850.28/917.40
  6. Step 6: Final answer
    x = 1,148.74

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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.