Home / 1,530.40-2,296.32-1,504.48

Finding the Fourth Proportional to 1,530.40, 2,296.32 and 1,504.48

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Solution

The fourth proportional to 1,530.40, 2,296.32 and 1,504.48 is: 2,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.40 : 2,296.32 = 1,504.48 : x
  2. Step 2: Convert to fraction form
    1,530.40/2,296.32 = 1,504.48/x
  3. Step 3: Cross multiply
    1,530.40x = 2,296.32 × 1,504.48
  4. Step 4: Simplify right side
    1,530.40x = 3,454,767.51
  5. Step 5: Solve for x
    x = 3,454,767.51/1,530.40
  6. Step 6: Final answer
    x = 2,257.43

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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.