Home / 1,527.37-2,291.18-431.74

Finding the Fourth Proportional to 1,527.37, 2,291.18 and 431.74

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Solution

The fourth proportional to 1,527.37, 2,291.18 and 431.74 is: 647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.37 : 2,291.18 = 431.74 : x
  2. Step 2: Convert to fraction form
    1,527.37/2,291.18 = 431.74/x
  3. Step 3: Cross multiply
    1,527.37x = 2,291.18 × 431.74
  4. Step 4: Simplify right side
    1,527.37x = 989,194.05
  5. Step 5: Solve for x
    x = 989,194.05/1,527.37
  6. Step 6: Final answer
    x = 647.65

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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.