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Finding the Fourth Proportional to 702.14, 970.11 and 545.42

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Solution

The fourth proportional to 702.14, 970.11 and 545.42 is: 753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.14 : 970.11 = 545.42 : x
  2. Step 2: Convert to fraction form
    702.14/970.11 = 545.42/x
  3. Step 3: Cross multiply
    702.14x = 970.11 × 545.42
  4. Step 4: Simplify right side
    702.14x = 529,117.40
  5. Step 5: Solve for x
    x = 529,117.40/702.14
  6. Step 6: Final answer
    x = 753.58

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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.