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Finding the Fourth Proportional to 702.50, 1,053.75 and 189.50

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Solution

The fourth proportional to 702.50, 1,053.75 and 189.50 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.50 : 1,053.75 = 189.50 : x
  2. Step 2: Convert to fraction form
    702.50/1,053.75 = 189.50/x
  3. Step 3: Cross multiply
    702.50x = 1,053.75 × 189.50
  4. Step 4: Simplify right side
    702.50x = 199,685.63
  5. Step 5: Solve for x
    x = 199,685.63/702.50
  6. Step 6: Final answer
    x = 284.25

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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.