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Finding the Fourth Proportional to 839.64, 1,259.10 and 291.54

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Solution

The fourth proportional to 839.64, 1,259.10 and 291.54 is: 437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.64 : 1,259.10 = 291.54 : x
  2. Step 2: Convert to fraction form
    839.64/1,259.10 = 291.54/x
  3. Step 3: Cross multiply
    839.64x = 1,259.10 × 291.54
  4. Step 4: Simplify right side
    839.64x = 367,078.01
  5. Step 5: Solve for x
    x = 367,078.01/839.64
  6. Step 6: Final answer
    x = 437.19

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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.