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Finding the Fourth Proportional to 597.28, 891.48 and 514.68

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Solution

The fourth proportional to 597.28, 891.48 and 514.68 is: 768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.28 : 891.48 = 514.68 : x
  2. Step 2: Convert to fraction form
    597.28/891.48 = 514.68/x
  3. Step 3: Cross multiply
    597.28x = 891.48 × 514.68
  4. Step 4: Simplify right side
    597.28x = 458,826.93
  5. Step 5: Solve for x
    x = 458,826.93/597.28
  6. Step 6: Final answer
    x = 768.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.