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Finding the Fourth Proportional to 873.22, 1,310.51 and 386.61

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Solution

The fourth proportional to 873.22, 1,310.51 and 386.61 is: 580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.22 : 1,310.51 = 386.61 : x
  2. Step 2: Convert to fraction form
    873.22/1,310.51 = 386.61/x
  3. Step 3: Cross multiply
    873.22x = 1,310.51 × 386.61
  4. Step 4: Simplify right side
    873.22x = 506,656.27
  5. Step 5: Solve for x
    x = 506,656.27/873.22
  6. Step 6: Final answer
    x = 580.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.