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Finding the Fourth Proportional to 503.80, 751.86 and 449.14

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Solution

The fourth proportional to 503.80, 751.86 and 449.14 is: 670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.80 : 751.86 = 449.14 : x
  2. Step 2: Convert to fraction form
    503.80/751.86 = 449.14/x
  3. Step 3: Cross multiply
    503.80x = 751.86 × 449.14
  4. Step 4: Simplify right side
    503.80x = 337,690.40
  5. Step 5: Solve for x
    x = 337,690.40/503.80
  6. Step 6: Final answer
    x = 670.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.