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Finding the Fourth Proportional to 664.15, 917.81 and 532.93

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Solution

The fourth proportional to 664.15, 917.81 and 532.93 is: 736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.15 : 917.81 = 532.93 : x
  2. Step 2: Convert to fraction form
    664.15/917.81 = 532.93/x
  3. Step 3: Cross multiply
    664.15x = 917.81 × 532.93
  4. Step 4: Simplify right side
    664.15x = 489,128.48
  5. Step 5: Solve for x
    x = 489,128.48/664.15
  6. Step 6: Final answer
    x = 736.47

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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.