Home / 1,527.35-2,291.00-431.71

Finding the Fourth Proportional to 1,527.35, 2,291.00 and 431.71

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Solution

The fourth proportional to 1,527.35, 2,291.00 and 431.71 is: 647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.35 : 2,291.00 = 431.71 : x
  2. Step 2: Convert to fraction form
    1,527.35/2,291.00 = 431.71/x
  3. Step 3: Cross multiply
    1,527.35x = 2,291.00 × 431.71
  4. Step 4: Simplify right side
    1,527.35x = 989,039.72
  5. Step 5: Solve for x
    x = 989,039.72/1,527.35
  6. Step 6: Final answer
    x = 647.55

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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.