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Finding the Fourth Proportional to 935.00, 1,400.67 and 687.75

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Solution

The fourth proportional to 935.00, 1,400.67 and 687.75 is: 1,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.00 : 1,400.67 = 687.75 : x
  2. Step 2: Convert to fraction form
    935.00/1,400.67 = 687.75/x
  3. Step 3: Cross multiply
    935.00x = 1,400.67 × 687.75
  4. Step 4: Simplify right side
    935.00x = 963,310.79
  5. Step 5: Solve for x
    x = 963,310.79/935.00
  6. Step 6: Final answer
    x = 1,030.28

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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.