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Finding the Fourth Proportional to 1,421.71, 2,132.49 and 544.63

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Solution

The fourth proportional to 1,421.71, 2,132.49 and 544.63 is: 816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.71 : 2,132.49 = 544.63 : x
  2. Step 2: Convert to fraction form
    1,421.71/2,132.49 = 544.63/x
  3. Step 3: Cross multiply
    1,421.71x = 2,132.49 × 544.63
  4. Step 4: Simplify right side
    1,421.71x = 1,161,417.94
  5. Step 5: Solve for x
    x = 1,161,417.94/1,421.71
  6. Step 6: Final answer
    x = 816.92

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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.