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Finding the Fourth Proportional to 1,099.08, 1,646.64 and 708.30

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Solution

The fourth proportional to 1,099.08, 1,646.64 and 708.30 is: 1,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.08 : 1,646.64 = 708.30 : x
  2. Step 2: Convert to fraction form
    1,099.08/1,646.64 = 708.30/x
  3. Step 3: Cross multiply
    1,099.08x = 1,646.64 × 708.30
  4. Step 4: Simplify right side
    1,099.08x = 1,166,315.11
  5. Step 5: Solve for x
    x = 1,166,315.11/1,099.08
  6. Step 6: Final answer
    x = 1,061.17

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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.