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Finding the Fourth Proportional to 1,038.87, 1,433.64 and 645.89

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Solution

The fourth proportional to 1,038.87, 1,433.64 and 645.89 is: 891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.87 : 1,433.64 = 645.89 : x
  2. Step 2: Convert to fraction form
    1,038.87/1,433.64 = 645.89/x
  3. Step 3: Cross multiply
    1,038.87x = 1,433.64 × 645.89
  4. Step 4: Simplify right side
    1,038.87x = 925,972.52
  5. Step 5: Solve for x
    x = 925,972.52/1,038.87
  6. Step 6: Final answer
    x = 891.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.