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Finding the Fourth Proportional to 888.10, 1,225.60 and 489.77

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Solution

The fourth proportional to 888.10, 1,225.60 and 489.77 is: 675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.10 : 1,225.60 = 489.77 : x
  2. Step 2: Convert to fraction form
    888.10/1,225.60 = 489.77/x
  3. Step 3: Cross multiply
    888.10x = 1,225.60 × 489.77
  4. Step 4: Simplify right side
    888.10x = 600,262.11
  5. Step 5: Solve for x
    x = 600,262.11/888.10
  6. Step 6: Final answer
    x = 675.90

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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.