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Finding the Fourth Proportional to 497.22, 741.77 and 490.74

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Solution

The fourth proportional to 497.22, 741.77 and 490.74 is: 732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.22 : 741.77 = 490.74 : x
  2. Step 2: Convert to fraction form
    497.22/741.77 = 490.74/x
  3. Step 3: Cross multiply
    497.22x = 741.77 × 490.74
  4. Step 4: Simplify right side
    497.22x = 364,013.76
  5. Step 5: Solve for x
    x = 364,013.76/497.22
  6. Step 6: Final answer
    x = 732.10

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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.