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Finding the Fourth Proportional to 702.49, 1,054.20 and 394.61

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Solution

The fourth proportional to 702.49, 1,054.20 and 394.61 is: 592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.49 : 1,054.20 = 394.61 : x
  2. Step 2: Convert to fraction form
    702.49/1,054.20 = 394.61/x
  3. Step 3: Cross multiply
    702.49x = 1,054.20 × 394.61
  4. Step 4: Simplify right side
    702.49x = 415,997.86
  5. Step 5: Solve for x
    x = 415,997.86/702.49
  6. Step 6: Final answer
    x = 592.18

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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.