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Finding the Fourth Proportional to 503.01, 689.51 and 494.51

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Solution

The fourth proportional to 503.01, 689.51 and 494.51 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.01 : 689.51 = 494.51 : x
  2. Step 2: Convert to fraction form
    503.01/689.51 = 494.51/x
  3. Step 3: Cross multiply
    503.01x = 689.51 × 494.51
  4. Step 4: Simplify right side
    503.01x = 340,967.38
  5. Step 5: Solve for x
    x = 340,967.38/503.01
  6. Step 6: Final answer
    x = 677.85

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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.