Home / 1,526.80-2,290.20-431.16

Finding the Fourth Proportional to 1,526.80, 2,290.20 and 431.16

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Solution

The fourth proportional to 1,526.80, 2,290.20 and 431.16 is: 646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.80 : 2,290.20 = 431.16 : x
  2. Step 2: Convert to fraction form
    1,526.80/2,290.20 = 431.16/x
  3. Step 3: Cross multiply
    1,526.80x = 2,290.20 × 431.16
  4. Step 4: Simplify right side
    1,526.80x = 987,452.84
  5. Step 5: Solve for x
    x = 987,452.84/1,526.80
  6. Step 6: Final answer
    x = 646.75

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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.