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Finding the Fourth Proportional to 498.88, 752.09 and 465.45

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Solution

The fourth proportional to 498.88, 752.09 and 465.45 is: 701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.88 : 752.09 = 465.45 : x
  2. Step 2: Convert to fraction form
    498.88/752.09 = 465.45/x
  3. Step 3: Cross multiply
    498.88x = 752.09 × 465.45
  4. Step 4: Simplify right side
    498.88x = 350,055.14
  5. Step 5: Solve for x
    x = 350,055.14/498.88
  6. Step 6: Final answer
    x = 701.68

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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.