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Finding the Fourth Proportional to 935.26, 1,402.95 and 387.47

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Solution

The fourth proportional to 935.26, 1,402.95 and 387.47 is: 581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.26 : 1,402.95 = 387.47 : x
  2. Step 2: Convert to fraction form
    935.26/1,402.95 = 387.47/x
  3. Step 3: Cross multiply
    935.26x = 1,402.95 × 387.47
  4. Step 4: Simplify right side
    935.26x = 543,601.04
  5. Step 5: Solve for x
    x = 543,601.04/935.26
  6. Step 6: Final answer
    x = 581.23

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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.