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Finding the Fourth Proportional to 874.30, 1,311.02 and 509.18

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Solution

The fourth proportional to 874.30, 1,311.02 and 509.18 is: 763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.30 : 1,311.02 = 509.18 : x
  2. Step 2: Convert to fraction form
    874.30/1,311.02 = 509.18/x
  3. Step 3: Cross multiply
    874.30x = 1,311.02 × 509.18
  4. Step 4: Simplify right side
    874.30x = 667,545.16
  5. Step 5: Solve for x
    x = 667,545.16/874.30
  6. Step 6: Final answer
    x = 763.52

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Double scale
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1.5x scale

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.