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Finding the Fourth Proportional to 923.22, 1,383.63 and 402.45

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Solution

The fourth proportional to 923.22, 1,383.63 and 402.45 is: 603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.22 : 1,383.63 = 402.45 : x
  2. Step 2: Convert to fraction form
    923.22/1,383.63 = 402.45/x
  3. Step 3: Cross multiply
    923.22x = 1,383.63 × 402.45
  4. Step 4: Simplify right side
    923.22x = 556,841.89
  5. Step 5: Solve for x
    x = 556,841.89/923.22
  6. Step 6: Final answer
    x = 603.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.