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Finding the Fourth Proportional to 1,073.01, 1,611.50 and 642.81

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Solution

The fourth proportional to 1,073.01, 1,611.50 and 642.81 is: 965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.01 : 1,611.50 = 642.81 : x
  2. Step 2: Convert to fraction form
    1,073.01/1,611.50 = 642.81/x
  3. Step 3: Cross multiply
    1,073.01x = 1,611.50 × 642.81
  4. Step 4: Simplify right side
    1,073.01x = 1,035,888.32
  5. Step 5: Solve for x
    x = 1,035,888.32/1,073.01
  6. Step 6: Final answer
    x = 965.40

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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.