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Finding the Fourth Proportional to 702.93, 971.28 and 556.74

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Solution

The fourth proportional to 702.93, 971.28 and 556.74 is: 769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.93 : 971.28 = 556.74 : x
  2. Step 2: Convert to fraction form
    702.93/971.28 = 556.74/x
  3. Step 3: Cross multiply
    702.93x = 971.28 × 556.74
  4. Step 4: Simplify right side
    702.93x = 540,750.43
  5. Step 5: Solve for x
    x = 540,750.43/702.93
  6. Step 6: Final answer
    x = 769.28

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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.