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Finding the Fourth Proportional to 888.76, 1,323.72 and 842.50

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Solution

The fourth proportional to 888.76, 1,323.72 and 842.50 is: 1,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.76 : 1,323.72 = 842.50 : x
  2. Step 2: Convert to fraction form
    888.76/1,323.72 = 842.50/x
  3. Step 3: Cross multiply
    888.76x = 1,323.72 × 842.50
  4. Step 4: Simplify right side
    888.76x = 1,115,234.10
  5. Step 5: Solve for x
    x = 1,115,234.10/888.76
  6. Step 6: Final answer
    x = 1,254.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.