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Finding the Fourth Proportional to 1,358.02, 1,874.10 and 768.57

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Solution

The fourth proportional to 1,358.02, 1,874.10 and 768.57 is: 1,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.02 : 1,874.10 = 768.57 : x
  2. Step 2: Convert to fraction form
    1,358.02/1,874.10 = 768.57/x
  3. Step 3: Cross multiply
    1,358.02x = 1,874.10 × 768.57
  4. Step 4: Simplify right side
    1,358.02x = 1,440,377.04
  5. Step 5: Solve for x
    x = 1,440,377.04/1,358.02
  6. Step 6: Final answer
    x = 1,060.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.