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Finding the Fourth Proportional to 503.65, 754.96 and 341.35

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Solution

The fourth proportional to 503.65, 754.96 and 341.35 is: 511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.65 : 754.96 = 341.35 : x
  2. Step 2: Convert to fraction form
    503.65/754.96 = 341.35/x
  3. Step 3: Cross multiply
    503.65x = 754.96 × 341.35
  4. Step 4: Simplify right side
    503.65x = 257,705.60
  5. Step 5: Solve for x
    x = 257,705.60/503.65
  6. Step 6: Final answer
    x = 511.68

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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.