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Finding the Fourth Proportional to 835.90, 1,153.45 and 462.79

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Solution

The fourth proportional to 835.90, 1,153.45 and 462.79 is: 638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.90 : 1,153.45 = 462.79 : x
  2. Step 2: Convert to fraction form
    835.90/1,153.45 = 462.79/x
  3. Step 3: Cross multiply
    835.90x = 1,153.45 × 462.79
  4. Step 4: Simplify right side
    835.90x = 533,799.14
  5. Step 5: Solve for x
    x = 533,799.14/835.90
  6. Step 6: Final answer
    x = 638.59

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1.5x scale

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.