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Finding the Fourth Proportional to 1,459.62, 2,190.66 and 638.55

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Solution

The fourth proportional to 1,459.62, 2,190.66 and 638.55 is: 958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.62 : 2,190.66 = 638.55 : x
  2. Step 2: Convert to fraction form
    1,459.62/2,190.66 = 638.55/x
  3. Step 3: Cross multiply
    1,459.62x = 2,190.66 × 638.55
  4. Step 4: Simplify right side
    1,459.62x = 1,398,845.94
  5. Step 5: Solve for x
    x = 1,398,845.94/1,459.62
  6. Step 6: Final answer
    x = 958.36

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1.5x scale

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.