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Finding the Fourth Proportional to 1,155.93, 1,733.42 and 669.32

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Solution

The fourth proportional to 1,155.93, 1,733.42 and 669.32 is: 1,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.93 : 1,733.42 = 669.32 : x
  2. Step 2: Convert to fraction form
    1,155.93/1,733.42 = 669.32/x
  3. Step 3: Cross multiply
    1,155.93x = 1,733.42 × 669.32
  4. Step 4: Simplify right side
    1,155.93x = 1,160,204.01
  5. Step 5: Solve for x
    x = 1,160,204.01/1,155.93
  6. Step 6: Final answer
    x = 1,003.70

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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.