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Finding the Fourth Proportional to 595.87, 822.02 and 386.11

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Solution

The fourth proportional to 595.87, 822.02 and 386.11 is: 532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.87 : 822.02 = 386.11 : x
  2. Step 2: Convert to fraction form
    595.87/822.02 = 386.11/x
  3. Step 3: Cross multiply
    595.87x = 822.02 × 386.11
  4. Step 4: Simplify right side
    595.87x = 317,388.21
  5. Step 5: Solve for x
    x = 317,388.21/595.87
  6. Step 6: Final answer
    x = 532.65

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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.