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Finding the Fourth Proportional to 977.55, 1,463.40 and 629.85

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Solution

The fourth proportional to 977.55, 1,463.40 and 629.85 is: 942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.55 : 1,463.40 = 629.85 : x
  2. Step 2: Convert to fraction form
    977.55/1,463.40 = 629.85/x
  3. Step 3: Cross multiply
    977.55x = 1,463.40 × 629.85
  4. Step 4: Simplify right side
    977.55x = 921,722.49
  5. Step 5: Solve for x
    x = 921,722.49/977.55
  6. Step 6: Final answer
    x = 942.89

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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.