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Finding the Fourth Proportional to 835.49, 1,151.65 and 658.17

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Solution

The fourth proportional to 835.49, 1,151.65 and 658.17 is: 907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.49 : 1,151.65 = 658.17 : x
  2. Step 2: Convert to fraction form
    835.49/1,151.65 = 658.17/x
  3. Step 3: Cross multiply
    835.49x = 1,151.65 × 658.17
  4. Step 4: Simplify right side
    835.49x = 757,981.48
  5. Step 5: Solve for x
    x = 757,981.48/835.49
  6. Step 6: Final answer
    x = 907.23

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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.