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Finding the Fourth Proportional to 851.18, 1,174.67 and 478.28

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Solution

The fourth proportional to 851.18, 1,174.67 and 478.28 is: 660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.18 : 1,174.67 = 478.28 : x
  2. Step 2: Convert to fraction form
    851.18/1,174.67 = 478.28/x
  3. Step 3: Cross multiply
    851.18x = 1,174.67 × 478.28
  4. Step 4: Simplify right side
    851.18x = 561,821.17
  5. Step 5: Solve for x
    x = 561,821.17/851.18
  6. Step 6: Final answer
    x = 660.05

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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.