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Finding the Fourth Proportional to 783.13, 1,085.66 and 741.51

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Solution

The fourth proportional to 783.13, 1,085.66 and 741.51 is: 1,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.13 : 1,085.66 = 741.51 : x
  2. Step 2: Convert to fraction form
    783.13/1,085.66 = 741.51/x
  3. Step 3: Cross multiply
    783.13x = 1,085.66 × 741.51
  4. Step 4: Simplify right side
    783.13x = 805,027.75
  5. Step 5: Solve for x
    x = 805,027.75/783.13
  6. Step 6: Final answer
    x = 1,027.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.