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Finding the Fourth Proportional to 702.31, 1,053.47 and 189.31

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Solution

The fourth proportional to 702.31, 1,053.47 and 189.31 is: 283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.31 : 1,053.47 = 189.31 : x
  2. Step 2: Convert to fraction form
    702.31/1,053.47 = 189.31/x
  3. Step 3: Cross multiply
    702.31x = 1,053.47 × 189.31
  4. Step 4: Simplify right side
    702.31x = 199,432.41
  5. Step 5: Solve for x
    x = 199,432.41/702.31
  6. Step 6: Final answer
    x = 283.97

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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.