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Finding the Fourth Proportional to 935.64, 1,291.59 and 642.42

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Solution

The fourth proportional to 935.64, 1,291.59 and 642.42 is: 886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.64 : 1,291.59 = 642.42 : x
  2. Step 2: Convert to fraction form
    935.64/1,291.59 = 642.42/x
  3. Step 3: Cross multiply
    935.64x = 1,291.59 × 642.42
  4. Step 4: Simplify right side
    935.64x = 829,743.25
  5. Step 5: Solve for x
    x = 829,743.25/935.64
  6. Step 6: Final answer
    x = 886.82

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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.