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Finding the Fourth Proportional to 856.26, 1,281.18 and 509.78

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Solution

The fourth proportional to 856.26, 1,281.18 and 509.78 is: 762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.26 : 1,281.18 = 509.78 : x
  2. Step 2: Convert to fraction form
    856.26/1,281.18 = 509.78/x
  3. Step 3: Cross multiply
    856.26x = 1,281.18 × 509.78
  4. Step 4: Simplify right side
    856.26x = 653,113.53
  5. Step 5: Solve for x
    x = 653,113.53/856.26
  6. Step 6: Final answer
    x = 762.75

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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.