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Finding the Fourth Proportional to 866.59, 1,297.50 and 557.68

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Solution

The fourth proportional to 866.59, 1,297.50 and 557.68 is: 834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.59 : 1,297.50 = 557.68 : x
  2. Step 2: Convert to fraction form
    866.59/1,297.50 = 557.68/x
  3. Step 3: Cross multiply
    866.59x = 1,297.50 × 557.68
  4. Step 4: Simplify right side
    866.59x = 723,589.80
  5. Step 5: Solve for x
    x = 723,589.80/866.59
  6. Step 6: Final answer
    x = 834.99

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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.