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Finding the Fourth Proportional to 702.54, 1,053.69 and 215.46

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Solution

The fourth proportional to 702.54, 1,053.69 and 215.46 is: 323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.54 : 1,053.69 = 215.46 : x
  2. Step 2: Convert to fraction form
    702.54/1,053.69 = 215.46/x
  3. Step 3: Cross multiply
    702.54x = 1,053.69 × 215.46
  4. Step 4: Simplify right side
    702.54x = 227,028.05
  5. Step 5: Solve for x
    x = 227,028.05/702.54
  6. Step 6: Final answer
    x = 323.15

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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.