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Finding the Fourth Proportional to 597.75, 823.76 and 587.11

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Solution

The fourth proportional to 597.75, 823.76 and 587.11 is: 809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 823.76 = 587.11 : x
  2. Step 2: Convert to fraction form
    597.75/823.76 = 587.11/x
  3. Step 3: Cross multiply
    597.75x = 823.76 × 587.11
  4. Step 4: Simplify right side
    597.75x = 483,637.73
  5. Step 5: Solve for x
    x = 483,637.73/597.75
  6. Step 6: Final answer
    x = 809.10

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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.