Home / 1,178.23-1,767.39-312.55

Finding the Fourth Proportional to 1,178.23, 1,767.39 and 312.55

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Solution

The fourth proportional to 1,178.23, 1,767.39 and 312.55 is: 468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.23 : 1,767.39 = 312.55 : x
  2. Step 2: Convert to fraction form
    1,178.23/1,767.39 = 312.55/x
  3. Step 3: Cross multiply
    1,178.23x = 1,767.39 × 312.55
  4. Step 4: Simplify right side
    1,178.23x = 552,397.74
  5. Step 5: Solve for x
    x = 552,397.74/1,178.23
  6. Step 6: Final answer
    x = 468.84

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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.