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Finding the Fourth Proportional to 923.77, 1,274.10 and 628.54

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Solution

The fourth proportional to 923.77, 1,274.10 and 628.54 is: 866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.77 : 1,274.10 = 628.54 : x
  2. Step 2: Convert to fraction form
    923.77/1,274.10 = 628.54/x
  3. Step 3: Cross multiply
    923.77x = 1,274.10 × 628.54
  4. Step 4: Simplify right side
    923.77x = 800,822.81
  5. Step 5: Solve for x
    x = 800,822.81/923.77
  6. Step 6: Final answer
    x = 866.91

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1.5x scale

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.