Home / 1,177.89-1,766.85-510.72

Finding the Fourth Proportional to 1,177.89, 1,766.85 and 510.72

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Solution

The fourth proportional to 1,177.89, 1,766.85 and 510.72 is: 766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.89 : 1,766.85 = 510.72 : x
  2. Step 2: Convert to fraction form
    1,177.89/1,766.85 = 510.72/x
  3. Step 3: Cross multiply
    1,177.89x = 1,766.85 × 510.72
  4. Step 4: Simplify right side
    1,177.89x = 902,365.63
  5. Step 5: Solve for x
    x = 902,365.63/1,177.89
  6. Step 6: Final answer
    x = 766.09

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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.