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Finding the Fourth Proportional to 1,521.90, 2,281.47 and 547.31

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Solution

The fourth proportional to 1,521.90, 2,281.47 and 547.31 is: 820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.90 : 2,281.47 = 547.31 : x
  2. Step 2: Convert to fraction form
    1,521.90/2,281.47 = 547.31/x
  3. Step 3: Cross multiply
    1,521.90x = 2,281.47 × 547.31
  4. Step 4: Simplify right side
    1,521.90x = 1,248,679.10
  5. Step 5: Solve for x
    x = 1,248,679.10/1,521.90
  6. Step 6: Final answer
    x = 820.48

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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.