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Finding the Fourth Proportional to 707.16, 975.82 and 412.39

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Solution

The fourth proportional to 707.16, 975.82 and 412.39 is: 569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.16 : 975.82 = 412.39 : x
  2. Step 2: Convert to fraction form
    707.16/975.82 = 412.39/x
  3. Step 3: Cross multiply
    707.16x = 975.82 × 412.39
  4. Step 4: Simplify right side
    707.16x = 402,413.53
  5. Step 5: Solve for x
    x = 402,413.53/707.16
  6. Step 6: Final answer
    x = 569.06

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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.