Home / 1,526.79-2,290.16-431.15

Finding the Fourth Proportional to 1,526.79, 2,290.16 and 431.15

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Solution

The fourth proportional to 1,526.79, 2,290.16 and 431.15 is: 646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.79 : 2,290.16 = 431.15 : x
  2. Step 2: Convert to fraction form
    1,526.79/2,290.16 = 431.15/x
  3. Step 3: Cross multiply
    1,526.79x = 2,290.16 × 431.15
  4. Step 4: Simplify right side
    1,526.79x = 987,391.03
  5. Step 5: Solve for x
    x = 987,391.03/1,526.79
  6. Step 6: Final answer
    x = 646.71

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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.