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Finding the Fourth Proportional to 935.20, 1,290.68 and 562.37

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Solution

The fourth proportional to 935.20, 1,290.68 and 562.37 is: 776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.20 : 1,290.68 = 562.37 : x
  2. Step 2: Convert to fraction form
    935.20/1,290.68 = 562.37/x
  3. Step 3: Cross multiply
    935.20x = 1,290.68 × 562.37
  4. Step 4: Simplify right side
    935.20x = 725,834.66
  5. Step 5: Solve for x
    x = 725,834.66/935.20
  6. Step 6: Final answer
    x = 776.13

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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.