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Finding the Fourth Proportional to 1,142, 1,575.86 and 644.68

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Solution

The fourth proportional to 1,142, 1,575.86 and 644.68 is: 889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142 : 1,575.86 = 644.68 : x
  2. Step 2: Convert to fraction form
    1,142/1,575.86 = 644.68/x
  3. Step 3: Cross multiply
    1,142x = 1,575.86 × 644.68
  4. Step 4: Simplify right side
    1,142x = 1,015,925.42
  5. Step 5: Solve for x
    x = 1,015,925.42/1,142
  6. Step 6: Final answer
    x = 889.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.