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Finding the Fourth Proportional to 935.55, 1,403.87 and 814.59

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Solution

The fourth proportional to 935.55, 1,403.87 and 814.59 is: 1,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.55 : 1,403.87 = 814.59 : x
  2. Step 2: Convert to fraction form
    935.55/1,403.87 = 814.59/x
  3. Step 3: Cross multiply
    935.55x = 1,403.87 × 814.59
  4. Step 4: Simplify right side
    935.55x = 1,143,574.39
  5. Step 5: Solve for x
    x = 1,143,574.39/935.55
  6. Step 6: Final answer
    x = 1,222.36

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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.