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Finding the Fourth Proportional to 903.68, 1,247.56 and 610.50

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Solution

The fourth proportional to 903.68, 1,247.56 and 610.50 is: 842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.68 : 1,247.56 = 610.50 : x
  2. Step 2: Convert to fraction form
    903.68/1,247.56 = 610.50/x
  3. Step 3: Cross multiply
    903.68x = 1,247.56 × 610.50
  4. Step 4: Simplify right side
    903.68x = 761,635.38
  5. Step 5: Solve for x
    x = 761,635.38/903.68
  6. Step 6: Final answer
    x = 842.82

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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.