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Finding the Fourth Proportional to 923.16, 1,383.30 and 707.16

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Solution

The fourth proportional to 923.16, 1,383.30 and 707.16 is: 1,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.16 : 1,383.30 = 707.16 : x
  2. Step 2: Convert to fraction form
    923.16/1,383.30 = 707.16/x
  3. Step 3: Cross multiply
    923.16x = 1,383.30 × 707.16
  4. Step 4: Simplify right side
    923.16x = 978,214.43
  5. Step 5: Solve for x
    x = 978,214.43/923.16
  6. Step 6: Final answer
    x = 1,059.64

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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.