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Finding the Fourth Proportional to 977.14, 1,464.17 and 759.03

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Solution

The fourth proportional to 977.14, 1,464.17 and 759.03 is: 1,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.14 : 1,464.17 = 759.03 : x
  2. Step 2: Convert to fraction form
    977.14/1,464.17 = 759.03/x
  3. Step 3: Cross multiply
    977.14x = 1,464.17 × 759.03
  4. Step 4: Simplify right side
    977.14x = 1,111,348.96
  5. Step 5: Solve for x
    x = 1,111,348.96/977.14
  6. Step 6: Final answer
    x = 1,137.35

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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.