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Finding the Fourth Proportional to 1,044.73, 1,566.51 and 428.86

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Solution

The fourth proportional to 1,044.73, 1,566.51 and 428.86 is: 643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.73 : 1,566.51 = 428.86 : x
  2. Step 2: Convert to fraction form
    1,044.73/1,566.51 = 428.86/x
  3. Step 3: Cross multiply
    1,044.73x = 1,566.51 × 428.86
  4. Step 4: Simplify right side
    1,044.73x = 671,817.57
  5. Step 5: Solve for x
    x = 671,817.57/1,044.73
  6. Step 6: Final answer
    x = 643.06

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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.