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Finding the Fourth Proportional to 587.72, 805.90 and 567.12

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Solution

The fourth proportional to 587.72, 805.90 and 567.12 is: 777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.72 : 805.90 = 567.12 : x
  2. Step 2: Convert to fraction form
    587.72/805.90 = 567.12/x
  3. Step 3: Cross multiply
    587.72x = 805.90 × 567.12
  4. Step 4: Simplify right side
    587.72x = 457,042.01
  5. Step 5: Solve for x
    x = 457,042.01/587.72
  6. Step 6: Final answer
    x = 777.65

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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.