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Finding the Fourth Proportional to 977.36, 1,464.72 and 861.56

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Solution

The fourth proportional to 977.36, 1,464.72 and 861.56 is: 1,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.36 : 1,464.72 = 861.56 : x
  2. Step 2: Convert to fraction form
    977.36/1,464.72 = 861.56/x
  3. Step 3: Cross multiply
    977.36x = 1,464.72 × 861.56
  4. Step 4: Simplify right side
    977.36x = 1,261,944.16
  5. Step 5: Solve for x
    x = 1,261,944.16/977.36
  6. Step 6: Final answer
    x = 1,291.18

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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.