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Finding the Fourth Proportional to 1,165.30, 1,748.51 and 678.39

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Solution

The fourth proportional to 1,165.30, 1,748.51 and 678.39 is: 1,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.30 : 1,748.51 = 678.39 : x
  2. Step 2: Convert to fraction form
    1,165.30/1,748.51 = 678.39/x
  3. Step 3: Cross multiply
    1,165.30x = 1,748.51 × 678.39
  4. Step 4: Simplify right side
    1,165.30x = 1,186,171.70
  5. Step 5: Solve for x
    x = 1,186,171.70/1,165.30
  6. Step 6: Final answer
    x = 1,017.91

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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.