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Finding the Fourth Proportional to 923.57, 1,274.64 and 569.56

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Solution

The fourth proportional to 923.57, 1,274.64 and 569.56 is: 786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.57 : 1,274.64 = 569.56 : x
  2. Step 2: Convert to fraction form
    923.57/1,274.64 = 569.56/x
  3. Step 3: Cross multiply
    923.57x = 1,274.64 × 569.56
  4. Step 4: Simplify right side
    923.57x = 725,983.96
  5. Step 5: Solve for x
    x = 725,983.96/923.57
  6. Step 6: Final answer
    x = 786.06

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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.