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Finding the Fourth Proportional to 576.01, 789.64 and 567.46

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Solution

The fourth proportional to 576.01, 789.64 and 567.46 is: 777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.01 : 789.64 = 567.46 : x
  2. Step 2: Convert to fraction form
    576.01/789.64 = 567.46/x
  3. Step 3: Cross multiply
    576.01x = 789.64 × 567.46
  4. Step 4: Simplify right side
    576.01x = 448,089.11
  5. Step 5: Solve for x
    x = 448,089.11/576.01
  6. Step 6: Final answer
    x = 777.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.