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Finding the Fourth Proportional to 1,204.07, 1,807.16 and 839.11

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Solution

The fourth proportional to 1,204.07, 1,807.16 and 839.11 is: 1,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.07 : 1,807.16 = 839.11 : x
  2. Step 2: Convert to fraction form
    1,204.07/1,807.16 = 839.11/x
  3. Step 3: Cross multiply
    1,204.07x = 1,807.16 × 839.11
  4. Step 4: Simplify right side
    1,204.07x = 1,516,405.42
  5. Step 5: Solve for x
    x = 1,516,405.42/1,204.07
  6. Step 6: Final answer
    x = 1,259.40

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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.