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Finding the Fourth Proportional to 702.81, 976.68 and 695.30

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Solution

The fourth proportional to 702.81, 976.68 and 695.30 is: 966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.81 : 976.68 = 695.30 : x
  2. Step 2: Convert to fraction form
    702.81/976.68 = 695.30/x
  3. Step 3: Cross multiply
    702.81x = 976.68 × 695.30
  4. Step 4: Simplify right side
    702.81x = 679,080.72
  5. Step 5: Solve for x
    x = 679,080.72/702.81
  6. Step 6: Final answer
    x = 966.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.