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Finding the Fourth Proportional to 977.60, 1,347.72 and 860.96

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Solution

The fourth proportional to 977.60, 1,347.72 and 860.96 is: 1,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.60 : 1,347.72 = 860.96 : x
  2. Step 2: Convert to fraction form
    977.60/1,347.72 = 860.96/x
  3. Step 3: Cross multiply
    977.60x = 1,347.72 × 860.96
  4. Step 4: Simplify right side
    977.60x = 1,160,333.01
  5. Step 5: Solve for x
    x = 1,160,333.01/977.60
  6. Step 6: Final answer
    x = 1,186.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.