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Finding the Fourth Proportional to 702.35, 968.78 and 439.91

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Solution

The fourth proportional to 702.35, 968.78 and 439.91 is: 606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.35 : 968.78 = 439.91 : x
  2. Step 2: Convert to fraction form
    702.35/968.78 = 439.91/x
  3. Step 3: Cross multiply
    702.35x = 968.78 × 439.91
  4. Step 4: Simplify right side
    702.35x = 426,176.01
  5. Step 5: Solve for x
    x = 426,176.01/702.35
  6. Step 6: Final answer
    x = 606.79

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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.