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Finding the Fourth Proportional to 881.34, 1,216.61 and 586.50

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Solution

The fourth proportional to 881.34, 1,216.61 and 586.50 is: 809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.34 : 1,216.61 = 586.50 : x
  2. Step 2: Convert to fraction form
    881.34/1,216.61 = 586.50/x
  3. Step 3: Cross multiply
    881.34x = 1,216.61 × 586.50
  4. Step 4: Simplify right side
    881.34x = 713,541.77
  5. Step 5: Solve for x
    x = 713,541.77/881.34
  6. Step 6: Final answer
    x = 809.61

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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.