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Finding the Fourth Proportional to 835.32, 1,153.11 and 499.34

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Solution

The fourth proportional to 835.32, 1,153.11 and 499.34 is: 689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.32 : 1,153.11 = 499.34 : x
  2. Step 2: Convert to fraction form
    835.32/1,153.11 = 499.34/x
  3. Step 3: Cross multiply
    835.32x = 1,153.11 × 499.34
  4. Step 4: Simplify right side
    835.32x = 575,793.95
  5. Step 5: Solve for x
    x = 575,793.95/835.32
  6. Step 6: Final answer
    x = 689.31

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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.