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Finding the Fourth Proportional to 637.20, 954.18 and 564.84

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Solution

The fourth proportional to 637.20, 954.18 and 564.84 is: 845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.20 : 954.18 = 564.84 : x
  2. Step 2: Convert to fraction form
    637.20/954.18 = 564.84/x
  3. Step 3: Cross multiply
    637.20x = 954.18 × 564.84
  4. Step 4: Simplify right side
    637.20x = 538,959.03
  5. Step 5: Solve for x
    x = 538,959.03/637.20
  6. Step 6: Final answer
    x = 845.82

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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.