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Finding the Fourth Proportional to 1,525.72, 2,288.13 and 551.90

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Solution

The fourth proportional to 1,525.72, 2,288.13 and 551.90 is: 827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.72 : 2,288.13 = 551.90 : x
  2. Step 2: Convert to fraction form
    1,525.72/2,288.13 = 551.90/x
  3. Step 3: Cross multiply
    1,525.72x = 2,288.13 × 551.90
  4. Step 4: Simplify right side
    1,525.72x = 1,262,818.95
  5. Step 5: Solve for x
    x = 1,262,818.95/1,525.72
  6. Step 6: Final answer
    x = 827.69

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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.