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Finding the Fourth Proportional to 923.18, 1,274.55 and 686.85

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Solution

The fourth proportional to 923.18, 1,274.55 and 686.85 is: 948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.18 : 1,274.55 = 686.85 : x
  2. Step 2: Convert to fraction form
    923.18/1,274.55 = 686.85/x
  3. Step 3: Cross multiply
    923.18x = 1,274.55 × 686.85
  4. Step 4: Simplify right side
    923.18x = 875,424.67
  5. Step 5: Solve for x
    x = 875,424.67/923.18
  6. Step 6: Final answer
    x = 948.28

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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.