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Finding the Fourth Proportional to 592.72, 816.77 and 424.19

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Solution

The fourth proportional to 592.72, 816.77 and 424.19 is: 584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.72 : 816.77 = 424.19 : x
  2. Step 2: Convert to fraction form
    592.72/816.77 = 424.19/x
  3. Step 3: Cross multiply
    592.72x = 816.77 × 424.19
  4. Step 4: Simplify right side
    592.72x = 346,468.77
  5. Step 5: Solve for x
    x = 346,468.77/592.72
  6. Step 6: Final answer
    x = 584.54

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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.