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Finding the Fourth Proportional to 741.50, 1,111.76 and 351.29

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Solution

The fourth proportional to 741.50, 1,111.76 and 351.29 is: 526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.50 : 1,111.76 = 351.29 : x
  2. Step 2: Convert to fraction form
    741.50/1,111.76 = 351.29/x
  3. Step 3: Cross multiply
    741.50x = 1,111.76 × 351.29
  4. Step 4: Simplify right side
    741.50x = 390,549.56
  5. Step 5: Solve for x
    x = 390,549.56/741.50
  6. Step 6: Final answer
    x = 526.70

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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.