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Finding the Fourth Proportional to 702.74, 970.05 and 628.93

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Solution

The fourth proportional to 702.74, 970.05 and 628.93 is: 868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.74 : 970.05 = 628.93 : x
  2. Step 2: Convert to fraction form
    702.74/970.05 = 628.93/x
  3. Step 3: Cross multiply
    702.74x = 970.05 × 628.93
  4. Step 4: Simplify right side
    702.74x = 610,093.48
  5. Step 5: Solve for x
    x = 610,093.48/702.74
  6. Step 6: Final answer
    x = 868.16

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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.