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Finding the Fourth Proportional to 874.30, 1,309.53 and 508.18

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Solution

The fourth proportional to 874.30, 1,309.53 and 508.18 is: 761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.30 : 1,309.53 = 508.18 : x
  2. Step 2: Convert to fraction form
    874.30/1,309.53 = 508.18/x
  3. Step 3: Cross multiply
    874.30x = 1,309.53 × 508.18
  4. Step 4: Simplify right side
    874.30x = 665,476.96
  5. Step 5: Solve for x
    x = 665,476.96/874.30
  6. Step 6: Final answer
    x = 761.15

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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.