Home / 1,526.69-2,290.05-431.17

Finding the Fourth Proportional to 1,526.69, 2,290.05 and 431.17

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Solution

The fourth proportional to 1,526.69, 2,290.05 and 431.17 is: 646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.69 : 2,290.05 = 431.17 : x
  2. Step 2: Convert to fraction form
    1,526.69/2,290.05 = 431.17/x
  3. Step 3: Cross multiply
    1,526.69x = 2,290.05 × 431.17
  4. Step 4: Simplify right side
    1,526.69x = 987,395.13
  5. Step 5: Solve for x
    x = 987,395.13/1,526.69
  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.