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Finding the Fourth Proportional to 780.68, 1,077.50 and 741.54

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Solution

The fourth proportional to 780.68, 1,077.50 and 741.54 is: 1,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.68 : 1,077.50 = 741.54 : x
  2. Step 2: Convert to fraction form
    780.68/1,077.50 = 741.54/x
  3. Step 3: Cross multiply
    780.68x = 1,077.50 × 741.54
  4. Step 4: Simplify right side
    780.68x = 799,009.35
  5. Step 5: Solve for x
    x = 799,009.35/780.68
  6. Step 6: Final answer
    x = 1,023.48

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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.