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Finding the Fourth Proportional to 503.62, 758.15 and 360.34

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Solution

The fourth proportional to 503.62, 758.15 and 360.34 is: 542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.62 : 758.15 = 360.34 : x
  2. Step 2: Convert to fraction form
    503.62/758.15 = 360.34/x
  3. Step 3: Cross multiply
    503.62x = 758.15 × 360.34
  4. Step 4: Simplify right side
    503.62x = 273,191.77
  5. Step 5: Solve for x
    x = 273,191.77/503.62
  6. Step 6: Final answer
    x = 542.46

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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.