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Finding the Fourth Proportional to 1,165.70, 1,608.69 and 641.76

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Solution

The fourth proportional to 1,165.70, 1,608.69 and 641.76 is: 885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.70 : 1,608.69 = 641.76 : x
  2. Step 2: Convert to fraction form
    1,165.70/1,608.69 = 641.76/x
  3. Step 3: Cross multiply
    1,165.70x = 1,608.69 × 641.76
  4. Step 4: Simplify right side
    1,165.70x = 1,032,392.89
  5. Step 5: Solve for x
    x = 1,032,392.89/1,165.70
  6. Step 6: Final answer
    x = 885.65

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