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Finding the Fourth Proportional to 1,223.61, 1,688.57 and 664.09

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Solution

The fourth proportional to 1,223.61, 1,688.57 and 664.09 is: 916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.61 : 1,688.57 = 664.09 : x
  2. Step 2: Convert to fraction form
    1,223.61/1,688.57 = 664.09/x
  3. Step 3: Cross multiply
    1,223.61x = 1,688.57 × 664.09
  4. Step 4: Simplify right side
    1,223.61x = 1,121,359.13
  5. Step 5: Solve for x
    x = 1,121,359.13/1,223.61
  6. Step 6: Final answer
    x = 916.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.