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Finding the Fourth Proportional to 665.44, 923.02 and 647.68

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Solution

The fourth proportional to 665.44, 923.02 and 647.68 is: 898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 923.02 = 647.68 : x
  2. Step 2: Convert to fraction form
    665.44/923.02 = 647.68/x
  3. Step 3: Cross multiply
    665.44x = 923.02 × 647.68
  4. Step 4: Simplify right side
    665.44x = 597,821.59
  5. Step 5: Solve for x
    x = 597,821.59/665.44
  6. Step 6: Final answer
    x = 898.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.