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Finding the Fourth Proportional to 591.05, 815.63 and 370.12

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Solution

The fourth proportional to 591.05, 815.63 and 370.12 is: 510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.05 : 815.63 = 370.12 : x
  2. Step 2: Convert to fraction form
    591.05/815.63 = 370.12/x
  3. Step 3: Cross multiply
    591.05x = 815.63 × 370.12
  4. Step 4: Simplify right side
    591.05x = 301,878.01
  5. Step 5: Solve for x
    x = 301,878.01/591.05
  6. Step 6: Final answer
    x = 510.75

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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.