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Finding the Fourth Proportional to 977.75, 1,465.80 and 668.85

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Solution

The fourth proportional to 977.75, 1,465.80 and 668.85 is: 1,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.75 : 1,465.80 = 668.85 : x
  2. Step 2: Convert to fraction form
    977.75/1,465.80 = 668.85/x
  3. Step 3: Cross multiply
    977.75x = 1,465.80 × 668.85
  4. Step 4: Simplify right side
    977.75x = 980,393.00
  5. Step 5: Solve for x
    x = 980,393.00/977.75
  6. Step 6: Final answer
    x = 1,002.70

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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.