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Finding the Fourth Proportional to 741.15, 1,023.03 and 583.81

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Solution

The fourth proportional to 741.15, 1,023.03 and 583.81 is: 805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.15 : 1,023.03 = 583.81 : x
  2. Step 2: Convert to fraction form
    741.15/1,023.03 = 583.81/x
  3. Step 3: Cross multiply
    741.15x = 1,023.03 × 583.81
  4. Step 4: Simplify right side
    741.15x = 597,252.59
  5. Step 5: Solve for x
    x = 597,252.59/741.15
  6. Step 6: Final answer
    x = 805.85

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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.