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Finding the Fourth Proportional to 1,313.40, 1,812.61 and 841.71

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Solution

The fourth proportional to 1,313.40, 1,812.61 and 841.71 is: 1,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.40 : 1,812.61 = 841.71 : x
  2. Step 2: Convert to fraction form
    1,313.40/1,812.61 = 841.71/x
  3. Step 3: Cross multiply
    1,313.40x = 1,812.61 × 841.71
  4. Step 4: Simplify right side
    1,313.40x = 1,525,691.96
  5. Step 5: Solve for x
    x = 1,525,691.96/1,313.40
  6. Step 6: Final answer
    x = 1,161.64

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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.