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Finding the Fourth Proportional to 974.77, 1,462.61 and 564.25

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Solution

The fourth proportional to 974.77, 1,462.61 and 564.25 is: 846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.77 : 1,462.61 = 564.25 : x
  2. Step 2: Convert to fraction form
    974.77/1,462.61 = 564.25/x
  3. Step 3: Cross multiply
    974.77x = 1,462.61 × 564.25
  4. Step 4: Simplify right side
    974.77x = 825,271.21
  5. Step 5: Solve for x
    x = 825,271.21/974.77
  6. Step 6: Final answer
    x = 846.63

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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.