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Finding the Fourth Proportional to 591.05, 815.27 and 425.00

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Solution

The fourth proportional to 591.05, 815.27 and 425.00 is: 586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.05 : 815.27 = 425.00 : x
  2. Step 2: Convert to fraction form
    591.05/815.27 = 425.00/x
  3. Step 3: Cross multiply
    591.05x = 815.27 × 425.00
  4. Step 4: Simplify right side
    591.05x = 346,486.74
  5. Step 5: Solve for x
    x = 346,486.74/591.05
  6. Step 6: Final answer
    x = 586.23

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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.