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Finding the Fourth Proportional to 1,337.00, 1,845.07 and 805.91

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Solution

The fourth proportional to 1,337.00, 1,845.07 and 805.91 is: 1,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.00 : 1,845.07 = 805.91 : x
  2. Step 2: Convert to fraction form
    1,337.00/1,845.07 = 805.91/x
  3. Step 3: Cross multiply
    1,337.00x = 1,845.07 × 805.91
  4. Step 4: Simplify right side
    1,337.00x = 1,486,966.06
  5. Step 5: Solve for x
    x = 1,486,966.06/1,337.00
  6. Step 6: Final answer
    x = 1,112.17

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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.