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Finding the Fourth Proportional to 1,530.87, 2,295.27 and 490.56

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Solution

The fourth proportional to 1,530.87, 2,295.27 and 490.56 is: 735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.87 : 2,295.27 = 490.56 : x
  2. Step 2: Convert to fraction form
    1,530.87/2,295.27 = 490.56/x
  3. Step 3: Cross multiply
    1,530.87x = 2,295.27 × 490.56
  4. Step 4: Simplify right side
    1,530.87x = 1,125,967.65
  5. Step 5: Solve for x
    x = 1,125,967.65/1,530.87
  6. Step 6: Final answer
    x = 735.51

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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.