Home / 1,526.08-2,288.78-430.56

Finding the Fourth Proportional to 1,526.08, 2,288.78 and 430.56

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Solution

The fourth proportional to 1,526.08, 2,288.78 and 430.56 is: 645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.08 : 2,288.78 = 430.56 : x
  2. Step 2: Convert to fraction form
    1,526.08/2,288.78 = 430.56/x
  3. Step 3: Cross multiply
    1,526.08x = 2,288.78 × 430.56
  4. Step 4: Simplify right side
    1,526.08x = 985,457.12
  5. Step 5: Solve for x
    x = 985,457.12/1,526.08
  6. Step 6: Final answer
    x = 645.74

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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.