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Finding the Fourth Proportional to 497.07, 741.85 and 484.11

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Solution

The fourth proportional to 497.07, 741.85 and 484.11 is: 722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.07 : 741.85 = 484.11 : x
  2. Step 2: Convert to fraction form
    497.07/741.85 = 484.11/x
  3. Step 3: Cross multiply
    497.07x = 741.85 × 484.11
  4. Step 4: Simplify right side
    497.07x = 359,135.79
  5. Step 5: Solve for x
    x = 359,135.79/497.07
  6. Step 6: Final answer
    x = 722.51

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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.