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Finding the Fourth Proportional to 498.02, 750.81 and 491.86

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Solution

The fourth proportional to 498.02, 750.81 and 491.86 is: 741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.02 : 750.81 = 491.86 : x
  2. Step 2: Convert to fraction form
    498.02/750.81 = 491.86/x
  3. Step 3: Cross multiply
    498.02x = 750.81 × 491.86
  4. Step 4: Simplify right side
    498.02x = 369,291.53
  5. Step 5: Solve for x
    x = 369,291.53/498.02
  6. Step 6: Final answer
    x = 741.52

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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.