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Finding the Fourth Proportional to 778.96, 1,075.08 and 542.85

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Solution

The fourth proportional to 778.96, 1,075.08 and 542.85 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.96 : 1,075.08 = 542.85 : x
  2. Step 2: Convert to fraction form
    778.96/1,075.08 = 542.85/x
  3. Step 3: Cross multiply
    778.96x = 1,075.08 × 542.85
  4. Step 4: Simplify right side
    778.96x = 583,607.18
  5. Step 5: Solve for x
    x = 583,607.18/778.96
  6. Step 6: Final answer
    x = 749.21

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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.