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Finding the Fourth Proportional to 990.22, 1,365.32 and 658.12

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Solution

The fourth proportional to 990.22, 1,365.32 and 658.12 is: 907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.22 : 1,365.32 = 658.12 : x
  2. Step 2: Convert to fraction form
    990.22/1,365.32 = 658.12/x
  3. Step 3: Cross multiply
    990.22x = 1,365.32 × 658.12
  4. Step 4: Simplify right side
    990.22x = 898,544.40
  5. Step 5: Solve for x
    x = 898,544.40/990.22
  6. Step 6: Final answer
    x = 907.42

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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.