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Finding the Fourth Proportional to 935.85, 1,403.76 and 286.57

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Solution

The fourth proportional to 935.85, 1,403.76 and 286.57 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.85 : 1,403.76 = 286.57 : x
  2. Step 2: Convert to fraction form
    935.85/1,403.76 = 286.57/x
  3. Step 3: Cross multiply
    935.85x = 1,403.76 × 286.57
  4. Step 4: Simplify right side
    935.85x = 402,275.50
  5. Step 5: Solve for x
    x = 402,275.50/935.85
  6. Step 6: Final answer
    x = 429.85

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Why These Related Problems?

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