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Finding the Fourth Proportional to 591.19, 815.55 and 404.68

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Solution

The fourth proportional to 591.19, 815.55 and 404.68 is: 558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.19 : 815.55 = 404.68 : x
  2. Step 2: Convert to fraction form
    591.19/815.55 = 404.68/x
  3. Step 3: Cross multiply
    591.19x = 815.55 × 404.68
  4. Step 4: Simplify right side
    591.19x = 330,036.77
  5. Step 5: Solve for x
    x = 330,036.77/591.19
  6. Step 6: Final answer
    x = 558.26

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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.