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Finding the Fourth Proportional to 591.93, 817.00 and 355.91

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Solution

The fourth proportional to 591.93, 817.00 and 355.91 is: 491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.93 : 817.00 = 355.91 : x
  2. Step 2: Convert to fraction form
    591.93/817.00 = 355.91/x
  3. Step 3: Cross multiply
    591.93x = 817.00 × 355.91
  4. Step 4: Simplify right side
    591.93x = 290,773.50
  5. Step 5: Solve for x
    x = 290,773.50/591.93
  6. Step 6: Final answer
    x = 491.23

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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.