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Finding the Fourth Proportional to 1,518.70, 2,278.47 and 652.78

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Solution

The fourth proportional to 1,518.70, 2,278.47 and 652.78 is: 979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.70 : 2,278.47 = 652.78 : x
  2. Step 2: Convert to fraction form
    1,518.70/2,278.47 = 652.78/x
  3. Step 3: Cross multiply
    1,518.70x = 2,278.47 × 652.78
  4. Step 4: Simplify right side
    1,518.70x = 1,487,339.65
  5. Step 5: Solve for x
    x = 1,487,339.65/1,518.70
  6. Step 6: Final answer
    x = 979.35

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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.