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Finding the Fourth Proportional to 1,261.69, 1,888.89 and 849.40

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Solution

The fourth proportional to 1,261.69, 1,888.89 and 849.40 is: 1,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.69 : 1,888.89 = 849.40 : x
  2. Step 2: Convert to fraction form
    1,261.69/1,888.89 = 849.40/x
  3. Step 3: Cross multiply
    1,261.69x = 1,888.89 × 849.40
  4. Step 4: Simplify right side
    1,261.69x = 1,604,423.17
  5. Step 5: Solve for x
    x = 1,604,423.17/1,261.69
  6. Step 6: Final answer
    x = 1,271.65

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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.