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Finding the Fourth Proportional to 1,284.68, 1,923.24 and 977.78

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Solution

The fourth proportional to 1,284.68, 1,923.24 and 977.78 is: 1,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.68 : 1,923.24 = 977.78 : x
  2. Step 2: Convert to fraction form
    1,284.68/1,923.24 = 977.78/x
  3. Step 3: Cross multiply
    1,284.68x = 1,923.24 × 977.78
  4. Step 4: Simplify right side
    1,284.68x = 1,880,505.61
  5. Step 5: Solve for x
    x = 1,880,505.61/1,284.68
  6. Step 6: Final answer
    x = 1,463.79

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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.