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Finding the Fourth Proportional to 977.37, 1,464.62 and 489.75

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Solution

The fourth proportional to 977.37, 1,464.62 and 489.75 is: 733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.37 : 1,464.62 = 489.75 : x
  2. Step 2: Convert to fraction form
    977.37/1,464.62 = 489.75/x
  3. Step 3: Cross multiply
    977.37x = 1,464.62 × 489.75
  4. Step 4: Simplify right side
    977.37x = 717,295.20
  5. Step 5: Solve for x
    x = 717,295.20/977.37
  6. Step 6: Final answer
    x = 733.90

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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.