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Finding the Fourth Proportional to 1,530.42, 2,296 and 490.42

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Solution

The fourth proportional to 1,530.42, 2,296 and 490.42 is: 735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.42 : 2,296 = 490.42 : x
  2. Step 2: Convert to fraction form
    1,530.42/2,296 = 490.42/x
  3. Step 3: Cross multiply
    1,530.42x = 2,296 × 490.42
  4. Step 4: Simplify right side
    1,530.42x = 1,126,004.32
  5. Step 5: Solve for x
    x = 1,126,004.32/1,530.42
  6. Step 6: Final answer
    x = 735.75

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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.