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Finding the Fourth Proportional to 591.03, 815.64 and 355.02

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Solution

The fourth proportional to 591.03, 815.64 and 355.02 is: 489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.03 : 815.64 = 355.02 : x
  2. Step 2: Convert to fraction form
    591.03/815.64 = 355.02/x
  3. Step 3: Cross multiply
    591.03x = 815.64 × 355.02
  4. Step 4: Simplify right side
    591.03x = 289,568.51
  5. Step 5: Solve for x
    x = 289,568.51/591.03
  6. Step 6: Final answer
    x = 489.94

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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.