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Finding the Fourth Proportional to 1,124.86, 1,685.01 and 575.68

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Solution

The fourth proportional to 1,124.86, 1,685.01 and 575.68 is: 862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.86 : 1,685.01 = 575.68 : x
  2. Step 2: Convert to fraction form
    1,124.86/1,685.01 = 575.68/x
  3. Step 3: Cross multiply
    1,124.86x = 1,685.01 × 575.68
  4. Step 4: Simplify right side
    1,124.86x = 970,026.56
  5. Step 5: Solve for x
    x = 970,026.56/1,124.86
  6. Step 6: Final answer
    x = 862.35

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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.