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Finding the Fourth Proportional to 935.60, 1,290.43 and 686.84

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Solution

The fourth proportional to 935.60, 1,290.43 and 686.84 is: 947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.60 : 1,290.43 = 686.84 : x
  2. Step 2: Convert to fraction form
    935.60/1,290.43 = 686.84/x
  3. Step 3: Cross multiply
    935.60x = 1,290.43 × 686.84
  4. Step 4: Simplify right side
    935.60x = 886,318.94
  5. Step 5: Solve for x
    x = 886,318.94/935.60
  6. Step 6: Final answer
    x = 947.33

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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.