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Finding the Fourth Proportional to 503.37, 757.78 and 360.09

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Solution

The fourth proportional to 503.37, 757.78 and 360.09 is: 542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.37 : 757.78 = 360.09 : x
  2. Step 2: Convert to fraction form
    503.37/757.78 = 360.09/x
  3. Step 3: Cross multiply
    503.37x = 757.78 × 360.09
  4. Step 4: Simplify right side
    503.37x = 272,868.10
  5. Step 5: Solve for x
    x = 272,868.10/503.37
  6. Step 6: Final answer
    x = 542.08

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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.