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Finding the Fourth Proportional to 977.18, 1,465.21 and 861.89

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Solution

The fourth proportional to 977.18, 1,465.21 and 861.89 is: 1,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.18 : 1,465.21 = 861.89 : x
  2. Step 2: Convert to fraction form
    977.18/1,465.21 = 861.89/x
  3. Step 3: Cross multiply
    977.18x = 1,465.21 × 861.89
  4. Step 4: Simplify right side
    977.18x = 1,262,843.60
  5. Step 5: Solve for x
    x = 1,262,843.60/977.18
  6. Step 6: Final answer
    x = 1,292.34

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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.