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Finding the Fourth Proportional to 917.01, 1,264.98 and 584.85

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Solution

The fourth proportional to 917.01, 1,264.98 and 584.85 is: 806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.01 : 1,264.98 = 584.85 : x
  2. Step 2: Convert to fraction form
    917.01/1,264.98 = 584.85/x
  3. Step 3: Cross multiply
    917.01x = 1,264.98 × 584.85
  4. Step 4: Simplify right side
    917.01x = 739,823.55
  5. Step 5: Solve for x
    x = 739,823.55/917.01
  6. Step 6: Final answer
    x = 806.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.