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Finding the Fourth Proportional to 503.32, 755.16 and 401.80

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Solution

The fourth proportional to 503.32, 755.16 and 401.80 is: 602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.32 : 755.16 = 401.80 : x
  2. Step 2: Convert to fraction form
    503.32/755.16 = 401.80/x
  3. Step 3: Cross multiply
    503.32x = 755.16 × 401.80
  4. Step 4: Simplify right side
    503.32x = 303,423.29
  5. Step 5: Solve for x
    x = 303,423.29/503.32
  6. Step 6: Final answer
    x = 602.84

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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.