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Finding the Fourth Proportional to 835.99, 1,253.71 and 397.18

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Solution

The fourth proportional to 835.99, 1,253.71 and 397.18 is: 595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.99 : 1,253.71 = 397.18 : x
  2. Step 2: Convert to fraction form
    835.99/1,253.71 = 397.18/x
  3. Step 3: Cross multiply
    835.99x = 1,253.71 × 397.18
  4. Step 4: Simplify right side
    835.99x = 497,948.54
  5. Step 5: Solve for x
    x = 497,948.54/835.99
  6. Step 6: Final answer
    x = 595.64

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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.