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Finding the Fourth Proportional to 1,465.02, 2,199.15 and 817.02

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Solution

The fourth proportional to 1,465.02, 2,199.15 and 817.02 is: 1,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.02 : 2,199.15 = 817.02 : x
  2. Step 2: Convert to fraction form
    1,465.02/2,199.15 = 817.02/x
  3. Step 3: Cross multiply
    1,465.02x = 2,199.15 × 817.02
  4. Step 4: Simplify right side
    1,465.02x = 1,796,749.53
  5. Step 5: Solve for x
    x = 1,796,749.53/1,465.02
  6. Step 6: Final answer
    x = 1,226.43

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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.