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Finding the Fourth Proportional to 1,225.60, 1,839.71 and 678.85

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Solution

The fourth proportional to 1,225.60, 1,839.71 and 678.85 is: 1,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.60 : 1,839.71 = 678.85 : x
  2. Step 2: Convert to fraction form
    1,225.60/1,839.71 = 678.85/x
  3. Step 3: Cross multiply
    1,225.60x = 1,839.71 × 678.85
  4. Step 4: Simplify right side
    1,225.60x = 1,248,884.23
  5. Step 5: Solve for x
    x = 1,248,884.23/1,225.60
  6. Step 6: Final answer
    x = 1,019.00

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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.