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Finding the Fourth Proportional to 780.32, 1,077.17 and 511.27

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Solution

The fourth proportional to 780.32, 1,077.17 and 511.27 is: 705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.32 : 1,077.17 = 511.27 : x
  2. Step 2: Convert to fraction form
    780.32/1,077.17 = 511.27/x
  3. Step 3: Cross multiply
    780.32x = 1,077.17 × 511.27
  4. Step 4: Simplify right side
    780.32x = 550,719.46
  5. Step 5: Solve for x
    x = 550,719.46/780.32
  6. Step 6: Final answer
    x = 705.76

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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.