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Finding the Fourth Proportional to 665.51, 993.23 and 648.23

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Solution

The fourth proportional to 665.51, 993.23 and 648.23 is: 967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.51 : 993.23 = 648.23 : x
  2. Step 2: Convert to fraction form
    665.51/993.23 = 648.23/x
  3. Step 3: Cross multiply
    665.51x = 993.23 × 648.23
  4. Step 4: Simplify right side
    665.51x = 643,841.48
  5. Step 5: Solve for x
    x = 643,841.48/665.51
  6. Step 6: Final answer
    x = 967.44

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.