Home / 1,525.68-2,288.61-430.13

Finding the Fourth Proportional to 1,525.68, 2,288.61 and 430.13

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Solution

The fourth proportional to 1,525.68, 2,288.61 and 430.13 is: 645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.68 : 2,288.61 = 430.13 : x
  2. Step 2: Convert to fraction form
    1,525.68/2,288.61 = 430.13/x
  3. Step 3: Cross multiply
    1,525.68x = 2,288.61 × 430.13
  4. Step 4: Simplify right side
    1,525.68x = 984,405.54
  5. Step 5: Solve for x
    x = 984,405.54/1,525.68
  6. Step 6: Final answer
    x = 645.22

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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.