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Finding the Fourth Proportional to 835.99, 1,152.34 and 658.67

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Solution

The fourth proportional to 835.99, 1,152.34 and 658.67 is: 907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.99 : 1,152.34 = 658.67 : x
  2. Step 2: Convert to fraction form
    835.99/1,152.34 = 658.67/x
  3. Step 3: Cross multiply
    835.99x = 1,152.34 × 658.67
  4. Step 4: Simplify right side
    835.99x = 759,008.49
  5. Step 5: Solve for x
    x = 759,008.49/835.99
  6. Step 6: Final answer
    x = 907.92

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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.