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Finding the Fourth Proportional to 591.35, 815.94 and 395.10

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Solution

The fourth proportional to 591.35, 815.94 and 395.10 is: 545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.35 : 815.94 = 395.10 : x
  2. Step 2: Convert to fraction form
    591.35/815.94 = 395.10/x
  3. Step 3: Cross multiply
    591.35x = 815.94 × 395.10
  4. Step 4: Simplify right side
    591.35x = 322,377.89
  5. Step 5: Solve for x
    x = 322,377.89/591.35
  6. Step 6: Final answer
    x = 545.16

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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.