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Finding the Fourth Proportional to 1,527.71, 2,291.31 and 431.81

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Solution

The fourth proportional to 1,527.71, 2,291.31 and 431.81 is: 647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.71 : 2,291.31 = 431.81 : x
  2. Step 2: Convert to fraction form
    1,527.71/2,291.31 = 431.81/x
  3. Step 3: Cross multiply
    1,527.71x = 2,291.31 × 431.81
  4. Step 4: Simplify right side
    1,527.71x = 989,402.48
  5. Step 5: Solve for x
    x = 989,402.48/1,527.71
  6. Step 6: Final answer
    x = 647.64

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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.