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Finding the Fourth Proportional to 1,057.59, 1,586.53 and 399.71

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Solution

The fourth proportional to 1,057.59, 1,586.53 and 399.71 is: 599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.59 : 1,586.53 = 399.71 : x
  2. Step 2: Convert to fraction form
    1,057.59/1,586.53 = 399.71/x
  3. Step 3: Cross multiply
    1,057.59x = 1,586.53 × 399.71
  4. Step 4: Simplify right side
    1,057.59x = 634,150.42
  5. Step 5: Solve for x
    x = 634,150.42/1,057.59
  6. Step 6: Final answer
    x = 599.62

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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.