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Finding the Fourth Proportional to 651.72, 976.34 and 578.82

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Solution

The fourth proportional to 651.72, 976.34 and 578.82 is: 867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.72 : 976.34 = 578.82 : x
  2. Step 2: Convert to fraction form
    651.72/976.34 = 578.82/x
  3. Step 3: Cross multiply
    651.72x = 976.34 × 578.82
  4. Step 4: Simplify right side
    651.72x = 565,125.12
  5. Step 5: Solve for x
    x = 565,125.12/651.72
  6. Step 6: Final answer
    x = 867.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.