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Finding the Fourth Proportional to 935.97, 1,403.90 and 286.71

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Solution

The fourth proportional to 935.97, 1,403.90 and 286.71 is: 430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.97 : 1,403.90 = 286.71 : x
  2. Step 2: Convert to fraction form
    935.97/1,403.90 = 286.71/x
  3. Step 3: Cross multiply
    935.97x = 1,403.90 × 286.71
  4. Step 4: Simplify right side
    935.97x = 402,506.55
  5. Step 5: Solve for x
    x = 402,506.55/935.97
  6. Step 6: Final answer
    x = 430.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.