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Finding the Fourth Proportional to 839.74, 1,260.02 and 291.68

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Solution

The fourth proportional to 839.74, 1,260.02 and 291.68 is: 437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.74 : 1,260.02 = 291.68 : x
  2. Step 2: Convert to fraction form
    839.74/1,260.02 = 291.68/x
  3. Step 3: Cross multiply
    839.74x = 1,260.02 × 291.68
  4. Step 4: Simplify right side
    839.74x = 367,522.63
  5. Step 5: Solve for x
    x = 367,522.63/839.74
  6. Step 6: Final answer
    x = 437.66

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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.