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Finding the Fourth Proportional to 1,500.88, 2,251.80 and 678.93

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Solution

The fourth proportional to 1,500.88, 2,251.80 and 678.93 is: 1,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.88 : 2,251.80 = 678.93 : x
  2. Step 2: Convert to fraction form
    1,500.88/2,251.80 = 678.93/x
  3. Step 3: Cross multiply
    1,500.88x = 2,251.80 × 678.93
  4. Step 4: Simplify right side
    1,500.88x = 1,528,818.80
  5. Step 5: Solve for x
    x = 1,528,818.80/1,500.88
  6. Step 6: Final answer
    x = 1,018.62

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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.