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Finding the Fourth Proportional to 835.92, 1,153.70 and 521.24

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Solution

The fourth proportional to 835.92, 1,153.70 and 521.24 is: 719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.92 : 1,153.70 = 521.24 : x
  2. Step 2: Convert to fraction form
    835.92/1,153.70 = 521.24/x
  3. Step 3: Cross multiply
    835.92x = 1,153.70 × 521.24
  4. Step 4: Simplify right side
    835.92x = 601,351.70
  5. Step 5: Solve for x
    x = 601,351.70/835.92
  6. Step 6: Final answer
    x = 719.39

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Double scale
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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.