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Finding the Fourth Proportional to 501.16, 688.99 and 498.04

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Solution

The fourth proportional to 501.16, 688.99 and 498.04 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.16 : 688.99 = 498.04 : x
  2. Step 2: Convert to fraction form
    501.16/688.99 = 498.04/x
  3. Step 3: Cross multiply
    501.16x = 688.99 × 498.04
  4. Step 4: Simplify right side
    501.16x = 343,144.58
  5. Step 5: Solve for x
    x = 343,144.58/501.16
  6. Step 6: Final answer
    x = 684.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.