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Finding the Fourth Proportional to 935.34, 1,289.66 and 766.74

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Solution

The fourth proportional to 935.34, 1,289.66 and 766.74 is: 1,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.34 : 1,289.66 = 766.74 : x
  2. Step 2: Convert to fraction form
    935.34/1,289.66 = 766.74/x
  3. Step 3: Cross multiply
    935.34x = 1,289.66 × 766.74
  4. Step 4: Simplify right side
    935.34x = 988,833.91
  5. Step 5: Solve for x
    x = 988,833.91/935.34
  6. Step 6: Final answer
    x = 1,057.19

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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.