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Finding the Fourth Proportional to 530.42, 794.94 and 270.48

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Solution

The fourth proportional to 530.42, 794.94 and 270.48 is: 405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.42 : 794.94 = 270.48 : x
  2. Step 2: Convert to fraction form
    530.42/794.94 = 270.48/x
  3. Step 3: Cross multiply
    530.42x = 794.94 × 270.48
  4. Step 4: Simplify right side
    530.42x = 215,015.37
  5. Step 5: Solve for x
    x = 215,015.37/530.42
  6. Step 6: Final answer
    x = 405.37

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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.