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Finding the Fourth Proportional to 702.72, 969.10 and 555.71

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Solution

The fourth proportional to 702.72, 969.10 and 555.71 is: 766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.72 : 969.10 = 555.71 : x
  2. Step 2: Convert to fraction form
    702.72/969.10 = 555.71/x
  3. Step 3: Cross multiply
    702.72x = 969.10 × 555.71
  4. Step 4: Simplify right side
    702.72x = 538,532.33
  5. Step 5: Solve for x
    x = 538,532.33/702.72
  6. Step 6: Final answer
    x = 766.35

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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.