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Finding the Fourth Proportional to 582.98, 805.02 and 397.16

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Solution

The fourth proportional to 582.98, 805.02 and 397.16 is: 548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.98 : 805.02 = 397.16 : x
  2. Step 2: Convert to fraction form
    582.98/805.02 = 397.16/x
  3. Step 3: Cross multiply
    582.98x = 805.02 × 397.16
  4. Step 4: Simplify right side
    582.98x = 319,717.72
  5. Step 5: Solve for x
    x = 319,717.72/582.98
  6. Step 6: Final answer
    x = 548.42

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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.