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Finding the Fourth Proportional to 702.25, 969.10 and 387.51

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Solution

The fourth proportional to 702.25, 969.10 and 387.51 is: 534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.25 : 969.10 = 387.51 : x
  2. Step 2: Convert to fraction form
    702.25/969.10 = 387.51/x
  3. Step 3: Cross multiply
    702.25x = 969.10 × 387.51
  4. Step 4: Simplify right side
    702.25x = 375,532.79
  5. Step 5: Solve for x
    x = 375,532.79/702.25
  6. Step 6: Final answer
    x = 534.76

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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.