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Finding the Fourth Proportional to 977.19, 1,464.48 and 537.78

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Solution

The fourth proportional to 977.19, 1,464.48 and 537.78 is: 805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.19 : 1,464.48 = 537.78 : x
  2. Step 2: Convert to fraction form
    977.19/1,464.48 = 537.78/x
  3. Step 3: Cross multiply
    977.19x = 1,464.48 × 537.78
  4. Step 4: Simplify right side
    977.19x = 787,568.05
  5. Step 5: Solve for x
    x = 787,568.05/977.19
  6. Step 6: Final answer
    x = 805.95

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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.