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Finding the Fourth Proportional to 977.12, 1,465.38 and 514.65

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Solution

The fourth proportional to 977.12, 1,465.38 and 514.65 is: 771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.12 : 1,465.38 = 514.65 : x
  2. Step 2: Convert to fraction form
    977.12/1,465.38 = 514.65/x
  3. Step 3: Cross multiply
    977.12x = 1,465.38 × 514.65
  4. Step 4: Simplify right side
    977.12x = 754,163.31
  5. Step 5: Solve for x
    x = 754,163.31/977.12
  6. Step 6: Final answer
    x = 771.82

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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.