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Finding the Fourth Proportional to 591.02, 816.20 and 487.14

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Solution

The fourth proportional to 591.02, 816.20 and 487.14 is: 672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.02 : 816.20 = 487.14 : x
  2. Step 2: Convert to fraction form
    591.02/816.20 = 487.14/x
  3. Step 3: Cross multiply
    591.02x = 816.20 × 487.14
  4. Step 4: Simplify right side
    591.02x = 397,603.67
  5. Step 5: Solve for x
    x = 397,603.67/591.02
  6. Step 6: Final answer
    x = 672.74

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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.