Home / 1,178.06-1,766.80-345.13

Finding the Fourth Proportional to 1,178.06, 1,766.80 and 345.13

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Solution

The fourth proportional to 1,178.06, 1,766.80 and 345.13 is: 517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.06 : 1,766.80 = 345.13 : x
  2. Step 2: Convert to fraction form
    1,178.06/1,766.80 = 345.13/x
  3. Step 3: Cross multiply
    1,178.06x = 1,766.80 × 345.13
  4. Step 4: Simplify right side
    1,178.06x = 609,769.76
  5. Step 5: Solve for x
    x = 609,769.76/1,178.06
  6. Step 6: Final answer
    x = 517.60

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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.