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Finding the Fourth Proportional to 1,044.95, 1,567.43 and 428.83

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Solution

The fourth proportional to 1,044.95, 1,567.43 and 428.83 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.95 : 1,567.43 = 428.83 : x
  2. Step 2: Convert to fraction form
    1,044.95/1,567.43 = 428.83/x
  3. Step 3: Cross multiply
    1,044.95x = 1,567.43 × 428.83
  4. Step 4: Simplify right side
    1,044.95x = 672,161.01
  5. Step 5: Solve for x
    x = 672,161.01/1,044.95
  6. Step 6: Final answer
    x = 643.25

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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.