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Finding the Fourth Proportional to 504.40, 754.20 and 374.80

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Solution

The fourth proportional to 504.40, 754.20 and 374.80 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.40 : 754.20 = 374.80 : x
  2. Step 2: Convert to fraction form
    504.40/754.20 = 374.80/x
  3. Step 3: Cross multiply
    504.40x = 754.20 × 374.80
  4. Step 4: Simplify right side
    504.40x = 282,674.16
  5. Step 5: Solve for x
    x = 282,674.16/504.40
  6. Step 6: Final answer
    x = 560.42

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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.