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Finding the Fourth Proportional to 835.82, 1,152.34 and 573.38

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Solution

The fourth proportional to 835.82, 1,152.34 and 573.38 is: 790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.82 : 1,152.34 = 573.38 : x
  2. Step 2: Convert to fraction form
    835.82/1,152.34 = 573.38/x
  3. Step 3: Cross multiply
    835.82x = 1,152.34 × 573.38
  4. Step 4: Simplify right side
    835.82x = 660,728.71
  5. Step 5: Solve for x
    x = 660,728.71/835.82
  6. Step 6: Final answer
    x = 790.52

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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.