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Finding the Fourth Proportional to 922.67, 1,390.21 and 823.19

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Solution

The fourth proportional to 922.67, 1,390.21 and 823.19 is: 1,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.67 : 1,390.21 = 823.19 : x
  2. Step 2: Convert to fraction form
    922.67/1,390.21 = 823.19/x
  3. Step 3: Cross multiply
    922.67x = 1,390.21 × 823.19
  4. Step 4: Simplify right side
    922.67x = 1,144,406.50
  5. Step 5: Solve for x
    x = 1,144,406.50/922.67
  6. Step 6: Final answer
    x = 1,240.33

Related Problems

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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 (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.