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Finding the Fourth Proportional to 977.12, 1,461.96 and 854.48

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Solution

The fourth proportional to 977.12, 1,461.96 and 854.48 is: 1,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.12 : 1,461.96 = 854.48 : x
  2. Step 2: Convert to fraction form
    977.12/1,461.96 = 854.48/x
  3. Step 3: Cross multiply
    977.12x = 1,461.96 × 854.48
  4. Step 4: Simplify right side
    977.12x = 1,249,215.58
  5. Step 5: Solve for x
    x = 1,249,215.58/977.12
  6. Step 6: Final answer
    x = 1,278.47

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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.