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Finding the Fourth Proportional to 498.43, 751.63 and 491.59

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Solution

The fourth proportional to 498.43, 751.63 and 491.59 is: 741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.43 : 751.63 = 491.59 : x
  2. Step 2: Convert to fraction form
    498.43/751.63 = 491.59/x
  3. Step 3: Cross multiply
    498.43x = 751.63 × 491.59
  4. Step 4: Simplify right side
    498.43x = 369,493.79
  5. Step 5: Solve for x
    x = 369,493.79/498.43
  6. Step 6: Final answer
    x = 741.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.