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Finding the Fourth Proportional to 702.86, 969.45 and 553.28

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Solution

The fourth proportional to 702.86, 969.45 and 553.28 is: 763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.86 : 969.45 = 553.28 : x
  2. Step 2: Convert to fraction form
    702.86/969.45 = 553.28/x
  3. Step 3: Cross multiply
    702.86x = 969.45 × 553.28
  4. Step 4: Simplify right side
    702.86x = 536,377.30
  5. Step 5: Solve for x
    x = 536,377.30/702.86
  6. Step 6: Final answer
    x = 763.14

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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.