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Finding the Fourth Proportional to 1,069.14, 1,602.10 and 483.81

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Solution

The fourth proportional to 1,069.14, 1,602.10 and 483.81 is: 724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.14 : 1,602.10 = 483.81 : x
  2. Step 2: Convert to fraction form
    1,069.14/1,602.10 = 483.81/x
  3. Step 3: Cross multiply
    1,069.14x = 1,602.10 × 483.81
  4. Step 4: Simplify right side
    1,069.14x = 775,112.61
  5. Step 5: Solve for x
    x = 775,112.61/1,069.14
  6. Step 6: Final answer
    x = 724.99

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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.