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Finding the Fourth Proportional to 1,525.52, 2,288.27 and 429.86

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Solution

The fourth proportional to 1,525.52, 2,288.27 and 429.86 is: 644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.52 : 2,288.27 = 429.86 : x
  2. Step 2: Convert to fraction form
    1,525.52/2,288.27 = 429.86/x
  3. Step 3: Cross multiply
    1,525.52x = 2,288.27 × 429.86
  4. Step 4: Simplify right side
    1,525.52x = 983,622.15
  5. Step 5: Solve for x
    x = 983,622.15/1,525.52
  6. Step 6: Final answer
    x = 644.78

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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.