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Finding the Fourth Proportional to 702.36, 1,046.67 and 679.14

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Solution

The fourth proportional to 702.36, 1,046.67 and 679.14 is: 1,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.36 : 1,046.67 = 679.14 : x
  2. Step 2: Convert to fraction form
    702.36/1,046.67 = 679.14/x
  3. Step 3: Cross multiply
    702.36x = 1,046.67 × 679.14
  4. Step 4: Simplify right side
    702.36x = 710,835.46
  5. Step 5: Solve for x
    x = 710,835.46/702.36
  6. Step 6: Final answer
    x = 1,012.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.