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Finding the Fourth Proportional to 839.78, 1,259.44 and 291.81

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Solution

The fourth proportional to 839.78, 1,259.44 and 291.81 is: 437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.78 : 1,259.44 = 291.81 : x
  2. Step 2: Convert to fraction form
    839.78/1,259.44 = 291.81/x
  3. Step 3: Cross multiply
    839.78x = 1,259.44 × 291.81
  4. Step 4: Simplify right side
    839.78x = 367,521.18
  5. Step 5: Solve for x
    x = 367,521.18/839.78
  6. Step 6: Final answer
    x = 437.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.