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Finding the Fourth Proportional to 977.32, 1,466.66 and 514.97

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Solution

The fourth proportional to 977.32, 1,466.66 and 514.97 is: 772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.32 : 1,466.66 = 514.97 : x
  2. Step 2: Convert to fraction form
    977.32/1,466.66 = 514.97/x
  3. Step 3: Cross multiply
    977.32x = 1,466.66 × 514.97
  4. Step 4: Simplify right side
    977.32x = 755,284.52
  5. Step 5: Solve for x
    x = 755,284.52/977.32
  6. Step 6: Final answer
    x = 772.82

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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.