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Finding the Fourth Proportional to 1,306.53, 1,802.66 and 841.05

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Solution

The fourth proportional to 1,306.53, 1,802.66 and 841.05 is: 1,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.53 : 1,802.66 = 841.05 : x
  2. Step 2: Convert to fraction form
    1,306.53/1,802.66 = 841.05/x
  3. Step 3: Cross multiply
    1,306.53x = 1,802.66 × 841.05
  4. Step 4: Simplify right side
    1,306.53x = 1,516,122.99
  5. Step 5: Solve for x
    x = 1,516,122.99/1,306.53
  6. Step 6: Final answer
    x = 1,160.42

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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.