Home / 1,527.34-2,291.15-431.72

Finding the Fourth Proportional to 1,527.34, 2,291.15 and 431.72

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Solution

The fourth proportional to 1,527.34, 2,291.15 and 431.72 is: 647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.34 : 2,291.15 = 431.72 : x
  2. Step 2: Convert to fraction form
    1,527.34/2,291.15 = 431.72/x
  3. Step 3: Cross multiply
    1,527.34x = 2,291.15 × 431.72
  4. Step 4: Simplify right side
    1,527.34x = 989,135.28
  5. Step 5: Solve for x
    x = 989,135.28/1,527.34
  6. Step 6: Final answer
    x = 647.62

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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.