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Finding the Fourth Proportional to 1,178.54, 1,767.86 and 312.84

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Solution

The fourth proportional to 1,178.54, 1,767.86 and 312.84 is: 469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.54 : 1,767.86 = 312.84 : x
  2. Step 2: Convert to fraction form
    1,178.54/1,767.86 = 312.84/x
  3. Step 3: Cross multiply
    1,178.54x = 1,767.86 × 312.84
  4. Step 4: Simplify right side
    1,178.54x = 553,055.76
  5. Step 5: Solve for x
    x = 553,055.76/1,178.54
  6. Step 6: Final answer
    x = 469.27

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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.