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Finding the Fourth Proportional to 977.32, 1,465.44 and 669.52

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Solution

The fourth proportional to 977.32, 1,465.44 and 669.52 is: 1,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.32 : 1,465.44 = 669.52 : x
  2. Step 2: Convert to fraction form
    977.32/1,465.44 = 669.52/x
  3. Step 3: Cross multiply
    977.32x = 1,465.44 × 669.52
  4. Step 4: Simplify right side
    977.32x = 981,136.23
  5. Step 5: Solve for x
    x = 981,136.23/977.32
  6. Step 6: Final answer
    x = 1,003.91

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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.