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Finding the Fourth Proportional to 741.23, 1,023.26 and 506.40

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Solution

The fourth proportional to 741.23, 1,023.26 and 506.40 is: 699.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.23 : 1,023.26 = 506.40 : x
  2. Step 2: Convert to fraction form
    741.23/1,023.26 = 506.40/x
  3. Step 3: Cross multiply
    741.23x = 1,023.26 × 506.40
  4. Step 4: Simplify right side
    741.23x = 518,176.33
  5. Step 5: Solve for x
    x = 518,176.33/741.23
  6. Step 6: Final answer
    x = 699.08

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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.