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Finding the Fourth Proportional to 935.79, 1,292.54 and 642.03

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Solution

The fourth proportional to 935.79, 1,292.54 and 642.03 is: 886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.79 : 1,292.54 = 642.03 : x
  2. Step 2: Convert to fraction form
    935.79/1,292.54 = 642.03/x
  3. Step 3: Cross multiply
    935.79x = 1,292.54 × 642.03
  4. Step 4: Simplify right side
    935.79x = 829,846.25
  5. Step 5: Solve for x
    x = 829,846.25/935.79
  6. Step 6: Final answer
    x = 886.79

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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.