Home / 1,528.24-2,291.67-432.34

Finding the Fourth Proportional to 1,528.24, 2,291.67 and 432.34

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Solution

The fourth proportional to 1,528.24, 2,291.67 and 432.34 is: 648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.24 : 2,291.67 = 432.34 : x
  2. Step 2: Convert to fraction form
    1,528.24/2,291.67 = 432.34/x
  3. Step 3: Cross multiply
    1,528.24x = 2,291.67 × 432.34
  4. Step 4: Simplify right side
    1,528.24x = 990,778.45
  5. Step 5: Solve for x
    x = 990,778.45/1,528.24
  6. Step 6: Final answer
    x = 648.32

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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.