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Finding the Fourth Proportional to 1,575.78, 2,364.13 and 650.87

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Solution

The fourth proportional to 1,575.78, 2,364.13 and 650.87 is: 976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.78 : 2,364.13 = 650.87 : x
  2. Step 2: Convert to fraction form
    1,575.78/2,364.13 = 650.87/x
  3. Step 3: Cross multiply
    1,575.78x = 2,364.13 × 650.87
  4. Step 4: Simplify right side
    1,575.78x = 1,538,729.47
  5. Step 5: Solve for x
    x = 1,538,729.47/1,575.78
  6. Step 6: Final answer
    x = 976.49

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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.