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Finding the Fourth Proportional to 498.53, 688.01 and 302.01

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Solution

The fourth proportional to 498.53, 688.01 and 302.01 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.53 : 688.01 = 302.01 : x
  2. Step 2: Convert to fraction form
    498.53/688.01 = 302.01/x
  3. Step 3: Cross multiply
    498.53x = 688.01 × 302.01
  4. Step 4: Simplify right side
    498.53x = 207,785.90
  5. Step 5: Solve for x
    x = 207,785.90/498.53
  6. Step 6: Final answer
    x = 416.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.