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Finding the Fourth Proportional to 702.24, 975.45 and 691.08

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Solution

The fourth proportional to 702.24, 975.45 and 691.08 is: 959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.24 : 975.45 = 691.08 : x
  2. Step 2: Convert to fraction form
    702.24/975.45 = 691.08/x
  3. Step 3: Cross multiply
    702.24x = 975.45 × 691.08
  4. Step 4: Simplify right side
    702.24x = 674,113.99
  5. Step 5: Solve for x
    x = 674,113.99/702.24
  6. Step 6: Final answer
    x = 959.95

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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.