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Finding the Fourth Proportional to 742.16, 1,113.40 and 400.40

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Solution

The fourth proportional to 742.16, 1,113.40 and 400.40 is: 600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.16 : 1,113.40 = 400.40 : x
  2. Step 2: Convert to fraction form
    742.16/1,113.40 = 400.40/x
  3. Step 3: Cross multiply
    742.16x = 1,113.40 × 400.40
  4. Step 4: Simplify right side
    742.16x = 445,805.36
  5. Step 5: Solve for x
    x = 445,805.36/742.16
  6. Step 6: Final answer
    x = 600.69

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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.