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Finding the Fourth Proportional to 1,575.78, 2,363.95 and 650.83

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Solution

The fourth proportional to 1,575.78, 2,363.95 and 650.83 is: 976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.78 : 2,363.95 = 650.83 : x
  2. Step 2: Convert to fraction form
    1,575.78/2,363.95 = 650.83/x
  3. Step 3: Cross multiply
    1,575.78x = 2,363.95 × 650.83
  4. Step 4: Simplify right side
    1,575.78x = 1,538,529.58
  5. Step 5: Solve for x
    x = 1,538,529.58/1,575.78
  6. Step 6: Final answer
    x = 976.36

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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.