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Finding the Fourth Proportional to 1,459.36, 2,188.98 and 485.38

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Solution

The fourth proportional to 1,459.36, 2,188.98 and 485.38 is: 728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.36 : 2,188.98 = 485.38 : x
  2. Step 2: Convert to fraction form
    1,459.36/2,188.98 = 485.38/x
  3. Step 3: Cross multiply
    1,459.36x = 2,188.98 × 485.38
  4. Step 4: Simplify right side
    1,459.36x = 1,062,487.11
  5. Step 5: Solve for x
    x = 1,062,487.11/1,459.36
  6. Step 6: Final answer
    x = 728.05

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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.