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Finding the Fourth Proportional to 1,521.42, 2,280.92 and 655.13

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Solution

The fourth proportional to 1,521.42, 2,280.92 and 655.13 is: 982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.42 : 2,280.92 = 655.13 : x
  2. Step 2: Convert to fraction form
    1,521.42/2,280.92 = 655.13/x
  3. Step 3: Cross multiply
    1,521.42x = 2,280.92 × 655.13
  4. Step 4: Simplify right side
    1,521.42x = 1,494,284.44
  5. Step 5: Solve for x
    x = 1,494,284.44/1,521.42
  6. Step 6: Final answer
    x = 982.16

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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.