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Finding the Fourth Proportional to 1,165.89, 1,607.82 and 766.85

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Solution

The fourth proportional to 1,165.89, 1,607.82 and 766.85 is: 1,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.89 : 1,607.82 = 766.85 : x
  2. Step 2: Convert to fraction form
    1,165.89/1,607.82 = 766.85/x
  3. Step 3: Cross multiply
    1,165.89x = 1,607.82 × 766.85
  4. Step 4: Simplify right side
    1,165.89x = 1,232,956.77
  5. Step 5: Solve for x
    x = 1,232,956.77/1,165.89
  6. Step 6: Final answer
    x = 1,057.52

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1.5x scale

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.