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Finding the Fourth Proportional to 503.40, 754.20 and 411.60

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Solution

The fourth proportional to 503.40, 754.20 and 411.60 is: 616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 754.20 = 411.60 : x
  2. Step 2: Convert to fraction form
    503.40/754.20 = 411.60/x
  3. Step 3: Cross multiply
    503.40x = 754.20 × 411.60
  4. Step 4: Simplify right side
    503.40x = 310,428.72
  5. Step 5: Solve for x
    x = 310,428.72/503.40
  6. Step 6: Final answer
    x = 616.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.