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Finding the Fourth Proportional to 1,521.77, 2,281.25 and 547.63

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Solution

The fourth proportional to 1,521.77, 2,281.25 and 547.63 is: 820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.77 : 2,281.25 = 547.63 : x
  2. Step 2: Convert to fraction form
    1,521.77/2,281.25 = 547.63/x
  3. Step 3: Cross multiply
    1,521.77x = 2,281.25 × 547.63
  4. Step 4: Simplify right side
    1,521.77x = 1,249,276.60
  5. Step 5: Solve for x
    x = 1,249,276.60/1,521.77
  6. Step 6: Final answer
    x = 820.94

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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.