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Finding the Fourth Proportional to 881.57, 1,216.58 and 488.61

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Solution

The fourth proportional to 881.57, 1,216.58 and 488.61 is: 674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.57 : 1,216.58 = 488.61 : x
  2. Step 2: Convert to fraction form
    881.57/1,216.58 = 488.61/x
  3. Step 3: Cross multiply
    881.57x = 1,216.58 × 488.61
  4. Step 4: Simplify right side
    881.57x = 594,430.71
  5. Step 5: Solve for x
    x = 594,430.71/881.57
  6. Step 6: Final answer
    x = 674.28

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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.