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Finding the Fourth Proportional to 917.09, 1,377.48 and 547.62

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Solution

The fourth proportional to 917.09, 1,377.48 and 547.62 is: 822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.09 : 1,377.48 = 547.62 : x
  2. Step 2: Convert to fraction form
    917.09/1,377.48 = 547.62/x
  3. Step 3: Cross multiply
    917.09x = 1,377.48 × 547.62
  4. Step 4: Simplify right side
    917.09x = 754,332.86
  5. Step 5: Solve for x
    x = 754,332.86/917.09
  6. Step 6: Final answer
    x = 822.53

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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.