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Finding the Fourth Proportional to 503.40, 758.52 and 418.60

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Solution

The fourth proportional to 503.40, 758.52 and 418.60 is: 630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 758.52 = 418.60 : x
  2. Step 2: Convert to fraction form
    503.40/758.52 = 418.60/x
  3. Step 3: Cross multiply
    503.40x = 758.52 × 418.60
  4. Step 4: Simplify right side
    503.40x = 317,516.47
  5. Step 5: Solve for x
    x = 317,516.47/503.40
  6. Step 6: Final answer
    x = 630.74

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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.