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Finding the Fourth Proportional to 977.20, 1,465.62 and 489.94

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Solution

The fourth proportional to 977.20, 1,465.62 and 489.94 is: 734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.20 : 1,465.62 = 489.94 : x
  2. Step 2: Convert to fraction form
    977.20/1,465.62 = 489.94/x
  3. Step 3: Cross multiply
    977.20x = 1,465.62 × 489.94
  4. Step 4: Simplify right side
    977.20x = 718,065.86
  5. Step 5: Solve for x
    x = 718,065.86/977.20
  6. Step 6: Final answer
    x = 734.82

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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.