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Finding the Fourth Proportional to 1,306.78, 1,803 and 841.30

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Solution

The fourth proportional to 1,306.78, 1,803 and 841.30 is: 1,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.78 : 1,803 = 841.30 : x
  2. Step 2: Convert to fraction form
    1,306.78/1,803 = 841.30/x
  3. Step 3: Cross multiply
    1,306.78x = 1,803 × 841.30
  4. Step 4: Simplify right side
    1,306.78x = 1,516,863.90
  5. Step 5: Solve for x
    x = 1,516,863.90/1,306.78
  6. Step 6: Final answer
    x = 1,160.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.