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Finding the Fourth Proportional to 874.24, 1,310.31 and 386.74

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Solution

The fourth proportional to 874.24, 1,310.31 and 386.74 is: 579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.24 : 1,310.31 = 386.74 : x
  2. Step 2: Convert to fraction form
    874.24/1,310.31 = 386.74/x
  3. Step 3: Cross multiply
    874.24x = 1,310.31 × 386.74
  4. Step 4: Simplify right side
    874.24x = 506,749.29
  5. Step 5: Solve for x
    x = 506,749.29/874.24
  6. Step 6: Final answer
    x = 579.65

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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.