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Finding the Fourth Proportional to 779.75, 1,077.13 and 632.13

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Solution

The fourth proportional to 779.75, 1,077.13 and 632.13 is: 873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.75 : 1,077.13 = 632.13 : x
  2. Step 2: Convert to fraction form
    779.75/1,077.13 = 632.13/x
  3. Step 3: Cross multiply
    779.75x = 1,077.13 × 632.13
  4. Step 4: Simplify right side
    779.75x = 680,886.19
  5. Step 5: Solve for x
    x = 680,886.19/779.75
  6. Step 6: Final answer
    x = 873.21

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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.