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Finding the Fourth Proportional to 660.81, 994.54 and 497.13

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Solution

The fourth proportional to 660.81, 994.54 and 497.13 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.81 : 994.54 = 497.13 : x
  2. Step 2: Convert to fraction form
    660.81/994.54 = 497.13/x
  3. Step 3: Cross multiply
    660.81x = 994.54 × 497.13
  4. Step 4: Simplify right side
    660.81x = 494,413.18
  5. Step 5: Solve for x
    x = 494,413.18/660.81
  6. Step 6: Final answer
    x = 748.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.