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Finding the Fourth Proportional to 657.65, 989.99 and 505.47

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Solution

The fourth proportional to 657.65, 989.99 and 505.47 is: 760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.65 : 989.99 = 505.47 : x
  2. Step 2: Convert to fraction form
    657.65/989.99 = 505.47/x
  3. Step 3: Cross multiply
    657.65x = 989.99 × 505.47
  4. Step 4: Simplify right side
    657.65x = 500,413.33
  5. Step 5: Solve for x
    x = 500,413.33/657.65
  6. Step 6: Final answer
    x = 760.91

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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.