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Finding the Fourth Proportional to 1,104.52, 1,524.30 and 607.21

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Solution

The fourth proportional to 1,104.52, 1,524.30 and 607.21 is: 837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.52 : 1,524.30 = 607.21 : x
  2. Step 2: Convert to fraction form
    1,104.52/1,524.30 = 607.21/x
  3. Step 3: Cross multiply
    1,104.52x = 1,524.30 × 607.21
  4. Step 4: Simplify right side
    1,104.52x = 925,570.20
  5. Step 5: Solve for x
    x = 925,570.20/1,104.52
  6. Step 6: Final answer
    x = 837.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.