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Finding the Fourth Proportional to 1,140.78, 1,714.38 and 678.63

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Solution

The fourth proportional to 1,140.78, 1,714.38 and 678.63 is: 1,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.78 : 1,714.38 = 678.63 : x
  2. Step 2: Convert to fraction form
    1,140.78/1,714.38 = 678.63/x
  3. Step 3: Cross multiply
    1,140.78x = 1,714.38 × 678.63
  4. Step 4: Simplify right side
    1,140.78x = 1,163,429.70
  5. Step 5: Solve for x
    x = 1,163,429.70/1,140.78
  6. Step 6: Final answer
    x = 1,019.85

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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.