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Finding the Fourth Proportional to 856.50, 1,282.23 and 580.74

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Solution

The fourth proportional to 856.50, 1,282.23 and 580.74 is: 869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.50 : 1,282.23 = 580.74 : x
  2. Step 2: Convert to fraction form
    856.50/1,282.23 = 580.74/x
  3. Step 3: Cross multiply
    856.50x = 1,282.23 × 580.74
  4. Step 4: Simplify right side
    856.50x = 744,642.25
  5. Step 5: Solve for x
    x = 744,642.25/856.50
  6. Step 6: Final answer
    x = 869.40

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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.