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Finding the Fourth Proportional to 1,074.01, 1,613 and 643.81

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Solution

The fourth proportional to 1,074.01, 1,613 and 643.81 is: 966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.01 : 1,613 = 643.81 : x
  2. Step 2: Convert to fraction form
    1,074.01/1,613 = 643.81/x
  3. Step 3: Cross multiply
    1,074.01x = 1,613 × 643.81
  4. Step 4: Simplify right side
    1,074.01x = 1,038,465.53
  5. Step 5: Solve for x
    x = 1,038,465.53/1,074.01
  6. Step 6: Final answer
    x = 966.90

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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.