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Finding the Fourth Proportional to 741.58, 1,111.66 and 498.17

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Solution

The fourth proportional to 741.58, 1,111.66 and 498.17 is: 746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.58 : 1,111.66 = 498.17 : x
  2. Step 2: Convert to fraction form
    741.58/1,111.66 = 498.17/x
  3. Step 3: Cross multiply
    741.58x = 1,111.66 × 498.17
  4. Step 4: Simplify right side
    741.58x = 553,797.20
  5. Step 5: Solve for x
    x = 553,797.20/741.58
  6. Step 6: Final answer
    x = 746.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.