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Finding the Fourth Proportional to 834.69, 1,151.93 and 480.62

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Solution

The fourth proportional to 834.69, 1,151.93 and 480.62 is: 663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.69 : 1,151.93 = 480.62 : x
  2. Step 2: Convert to fraction form
    834.69/1,151.93 = 480.62/x
  3. Step 3: Cross multiply
    834.69x = 1,151.93 × 480.62
  4. Step 4: Simplify right side
    834.69x = 553,641.07
  5. Step 5: Solve for x
    x = 553,641.07/834.69
  6. Step 6: Final answer
    x = 663.29

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Half scale
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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.