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Finding the Fourth Proportional to 702.10, 985.10 and 702.10

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Solution

The fourth proportional to 702.10, 985.10 and 702.10 is: 985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.10 : 985.10 = 702.10 : x
  2. Step 2: Convert to fraction form
    702.10/985.10 = 702.10/x
  3. Step 3: Cross multiply
    702.10x = 985.10 × 702.10
  4. Step 4: Simplify right side
    702.10x = 691,638.71
  5. Step 5: Solve for x
    x = 691,638.71/702.10
  6. Step 6: Final answer
    x = 985.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.