Home / 1,526.72-2,290.11-431.09

Finding the Fourth Proportional to 1,526.72, 2,290.11 and 431.09

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Solution

The fourth proportional to 1,526.72, 2,290.11 and 431.09 is: 646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.72 : 2,290.11 = 431.09 : x
  2. Step 2: Convert to fraction form
    1,526.72/2,290.11 = 431.09/x
  3. Step 3: Cross multiply
    1,526.72x = 2,290.11 × 431.09
  4. Step 4: Simplify right side
    1,526.72x = 987,239.04
  5. Step 5: Solve for x
    x = 987,239.04/1,526.72
  6. Step 6: Final answer
    x = 646.64

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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.