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Finding the Fourth Proportional to 780.33, 1,077.09 and 531.60

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Solution

The fourth proportional to 780.33, 1,077.09 and 531.60 is: 733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.33 : 1,077.09 = 531.60 : x
  2. Step 2: Convert to fraction form
    780.33/1,077.09 = 531.60/x
  3. Step 3: Cross multiply
    780.33x = 1,077.09 × 531.60
  4. Step 4: Simplify right side
    780.33x = 572,581.04
  5. Step 5: Solve for x
    x = 572,581.04/780.33
  6. Step 6: Final answer
    x = 733.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.