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Finding the Fourth Proportional to 702.36, 1,053.59 and 215.46

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Solution

The fourth proportional to 702.36, 1,053.59 and 215.46 is: 323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.36 : 1,053.59 = 215.46 : x
  2. Step 2: Convert to fraction form
    702.36/1,053.59 = 215.46/x
  3. Step 3: Cross multiply
    702.36x = 1,053.59 × 215.46
  4. Step 4: Simplify right side
    702.36x = 227,005.42
  5. Step 5: Solve for x
    x = 227,005.42/702.36
  6. Step 6: Final answer
    x = 323.20

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