Home / 1,526.43-2,289.66-500.43

Finding the Fourth Proportional to 1,526.43, 2,289.66 and 500.43

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Solution

The fourth proportional to 1,526.43, 2,289.66 and 500.43 is: 750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.43 : 2,289.66 = 500.43 : x
  2. Step 2: Convert to fraction form
    1,526.43/2,289.66 = 500.43/x
  3. Step 3: Cross multiply
    1,526.43x = 2,289.66 × 500.43
  4. Step 4: Simplify right side
    1,526.43x = 1,145,814.55
  5. Step 5: Solve for x
    x = 1,145,814.55/1,526.43
  6. Step 6: Final answer
    x = 750.65

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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.