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Finding the Fourth Proportional to 580.54, 801.16 and 318.58

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Solution

The fourth proportional to 580.54, 801.16 and 318.58 is: 439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.54 : 801.16 = 318.58 : x
  2. Step 2: Convert to fraction form
    580.54/801.16 = 318.58/x
  3. Step 3: Cross multiply
    580.54x = 801.16 × 318.58
  4. Step 4: Simplify right side
    580.54x = 255,233.55
  5. Step 5: Solve for x
    x = 255,233.55/580.54
  6. Step 6: Final answer
    x = 439.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.