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Finding the Fourth Proportional to 982.65, 1,354.65 and 702.78

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Solution

The fourth proportional to 982.65, 1,354.65 and 702.78 is: 968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.65 : 1,354.65 = 702.78 : x
  2. Step 2: Convert to fraction form
    982.65/1,354.65 = 702.78/x
  3. Step 3: Cross multiply
    982.65x = 1,354.65 × 702.78
  4. Step 4: Simplify right side
    982.65x = 952,020.93
  5. Step 5: Solve for x
    x = 952,020.93/982.65
  6. Step 6: Final answer
    x = 968.84

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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.