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Finding the Fourth Proportional to 1,161.25, 1,602.60 and 664.05

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Solution

The fourth proportional to 1,161.25, 1,602.60 and 664.05 is: 916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.25 : 1,602.60 = 664.05 : x
  2. Step 2: Convert to fraction form
    1,161.25/1,602.60 = 664.05/x
  3. Step 3: Cross multiply
    1,161.25x = 1,602.60 × 664.05
  4. Step 4: Simplify right side
    1,161.25x = 1,064,206.53
  5. Step 5: Solve for x
    x = 1,064,206.53/1,161.25
  6. Step 6: Final answer
    x = 916.43

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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.