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Finding the Fourth Proportional to 778.11, 1,075.34 and 638.01

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Solution

The fourth proportional to 778.11, 1,075.34 and 638.01 is: 881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.11 : 1,075.34 = 638.01 : x
  2. Step 2: Convert to fraction form
    778.11/1,075.34 = 638.01/x
  3. Step 3: Cross multiply
    778.11x = 1,075.34 × 638.01
  4. Step 4: Simplify right side
    778.11x = 686,077.67
  5. Step 5: Solve for x
    x = 686,077.67/778.11
  6. Step 6: Final answer
    x = 881.72

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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.