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Finding the Fourth Proportional to 707.71, 976.65 and 413.14

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Solution

The fourth proportional to 707.71, 976.65 and 413.14 is: 570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.71 : 976.65 = 413.14 : x
  2. Step 2: Convert to fraction form
    707.71/976.65 = 413.14/x
  3. Step 3: Cross multiply
    707.71x = 976.65 × 413.14
  4. Step 4: Simplify right side
    707.71x = 403,493.18
  5. Step 5: Solve for x
    x = 403,493.18/707.71
  6. Step 6: Final answer
    x = 570.14

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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.