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Finding the Fourth Proportional to 702.29, 1,045.14 and 678.93

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Solution

The fourth proportional to 702.29, 1,045.14 and 678.93 is: 1,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.29 : 1,045.14 = 678.93 : x
  2. Step 2: Convert to fraction form
    702.29/1,045.14 = 678.93/x
  3. Step 3: Cross multiply
    702.29x = 1,045.14 × 678.93
  4. Step 4: Simplify right side
    702.29x = 709,576.90
  5. Step 5: Solve for x
    x = 709,576.90/702.29
  6. Step 6: Final answer
    x = 1,010.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.