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Finding the Fourth Proportional to 882.57, 1,217.85 and 489.54

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Solution

The fourth proportional to 882.57, 1,217.85 and 489.54 is: 675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.57 : 1,217.85 = 489.54 : x
  2. Step 2: Convert to fraction form
    882.57/1,217.85 = 489.54/x
  3. Step 3: Cross multiply
    882.57x = 1,217.85 × 489.54
  4. Step 4: Simplify right side
    882.57x = 596,186.29
  5. Step 5: Solve for x
    x = 596,186.29/882.57
  6. Step 6: Final answer
    x = 675.51

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1.5x scale

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.