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Finding the Fourth Proportional to 647.44, 972.18 and 574.54

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Solution

The fourth proportional to 647.44, 972.18 and 574.54 is: 862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.44 : 972.18 = 574.54 : x
  2. Step 2: Convert to fraction form
    647.44/972.18 = 574.54/x
  3. Step 3: Cross multiply
    647.44x = 972.18 × 574.54
  4. Step 4: Simplify right side
    647.44x = 558,555.36
  5. Step 5: Solve for x
    x = 558,555.36/647.44
  6. Step 6: Final answer
    x = 862.71

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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.