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Finding the Fourth Proportional to 702.06, 1,050.59 and 681.27

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Solution

The fourth proportional to 702.06, 1,050.59 and 681.27 is: 1,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.06 : 1,050.59 = 681.27 : x
  2. Step 2: Convert to fraction form
    702.06/1,050.59 = 681.27/x
  3. Step 3: Cross multiply
    702.06x = 1,050.59 × 681.27
  4. Step 4: Simplify right side
    702.06x = 715,726.79
  5. Step 5: Solve for x
    x = 715,726.79/702.06
  6. Step 6: Final answer
    x = 1,019.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.