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Finding the Fourth Proportional to 1,521.76, 2,282.80 and 426.08

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Solution

The fourth proportional to 1,521.76, 2,282.80 and 426.08 is: 639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.76 : 2,282.80 = 426.08 : x
  2. Step 2: Convert to fraction form
    1,521.76/2,282.80 = 426.08/x
  3. Step 3: Cross multiply
    1,521.76x = 2,282.80 × 426.08
  4. Step 4: Simplify right side
    1,521.76x = 972,655.42
  5. Step 5: Solve for x
    x = 972,655.42/1,521.76
  6. Step 6: Final answer
    x = 639.16

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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.