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Finding the Fourth Proportional to 591.86, 815.76 and 405.03

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Solution

The fourth proportional to 591.86, 815.76 and 405.03 is: 558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.86 : 815.76 = 405.03 : x
  2. Step 2: Convert to fraction form
    591.86/815.76 = 405.03/x
  3. Step 3: Cross multiply
    591.86x = 815.76 × 405.03
  4. Step 4: Simplify right side
    591.86x = 330,403.19
  5. Step 5: Solve for x
    x = 330,403.19/591.86
  6. Step 6: Final answer
    x = 558.25

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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.