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Finding the Fourth Proportional to 1,178.03, 1,767.05 and 312.34

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Solution

The fourth proportional to 1,178.03, 1,767.05 and 312.34 is: 468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.03 : 1,767.05 = 312.34 : x
  2. Step 2: Convert to fraction form
    1,178.03/1,767.05 = 312.34/x
  3. Step 3: Cross multiply
    1,178.03x = 1,767.05 × 312.34
  4. Step 4: Simplify right side
    1,178.03x = 551,920.40
  5. Step 5: Solve for x
    x = 551,920.40/1,178.03
  6. Step 6: Final answer
    x = 468.51

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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.