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Finding the Fourth Proportional to 864.78, 1,193.37 and 471.79

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Solution

The fourth proportional to 864.78, 1,193.37 and 471.79 is: 651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.78 : 1,193.37 = 471.79 : x
  2. Step 2: Convert to fraction form
    864.78/1,193.37 = 471.79/x
  3. Step 3: Cross multiply
    864.78x = 1,193.37 × 471.79
  4. Step 4: Simplify right side
    864.78x = 563,020.03
  5. Step 5: Solve for x
    x = 563,020.03/864.78
  6. Step 6: Final answer
    x = 651.06

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Double scale
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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.