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Finding the Fourth Proportional to 1,059.08, 1,588.84 and 318.71

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Solution

The fourth proportional to 1,059.08, 1,588.84 and 318.71 is: 478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.08 : 1,588.84 = 318.71 : x
  2. Step 2: Convert to fraction form
    1,059.08/1,588.84 = 318.71/x
  3. Step 3: Cross multiply
    1,059.08x = 1,588.84 × 318.71
  4. Step 4: Simplify right side
    1,059.08x = 506,378.80
  5. Step 5: Solve for x
    x = 506,378.80/1,059.08
  6. Step 6: Final answer
    x = 478.13

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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.