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Finding the Fourth Proportional to 882.74, 1,218.19 and 489.77

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Solution

The fourth proportional to 882.74, 1,218.19 and 489.77 is: 675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.74 : 1,218.19 = 489.77 : x
  2. Step 2: Convert to fraction form
    882.74/1,218.19 = 489.77/x
  3. Step 3: Cross multiply
    882.74x = 1,218.19 × 489.77
  4. Step 4: Simplify right side
    882.74x = 596,627.66
  5. Step 5: Solve for x
    x = 596,627.66/882.74
  6. Step 6: Final answer
    x = 675.88

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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.