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Finding the Fourth Proportional to 835.64, 1,153.10 and 521.36

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Solution

The fourth proportional to 835.64, 1,153.10 and 521.36 is: 719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.64 : 1,153.10 = 521.36 : x
  2. Step 2: Convert to fraction form
    835.64/1,153.10 = 521.36/x
  3. Step 3: Cross multiply
    835.64x = 1,153.10 × 521.36
  4. Step 4: Simplify right side
    835.64x = 601,180.22
  5. Step 5: Solve for x
    x = 601,180.22/835.64
  6. Step 6: Final answer
    x = 719.42

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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.