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Finding the Fourth Proportional to 839.15, 1,157.65 and 590.38

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Solution

The fourth proportional to 839.15, 1,157.65 and 590.38 is: 814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.15 : 1,157.65 = 590.38 : x
  2. Step 2: Convert to fraction form
    839.15/1,157.65 = 590.38/x
  3. Step 3: Cross multiply
    839.15x = 1,157.65 × 590.38
  4. Step 4: Simplify right side
    839.15x = 683,453.41
  5. Step 5: Solve for x
    x = 683,453.41/839.15
  6. Step 6: Final answer
    x = 814.46

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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.