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Finding the Fourth Proportional to 741.63, 1,105.46 and 718.05

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Solution

The fourth proportional to 741.63, 1,105.46 and 718.05 is: 1,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.63 : 1,105.46 = 718.05 : x
  2. Step 2: Convert to fraction form
    741.63/1,105.46 = 718.05/x
  3. Step 3: Cross multiply
    741.63x = 1,105.46 × 718.05
  4. Step 4: Simplify right side
    741.63x = 793,777.35
  5. Step 5: Solve for x
    x = 793,777.35/741.63
  6. Step 6: Final answer
    x = 1,070.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.