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Finding the Fourth Proportional to 707.11, 975.63 and 412.37

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Solution

The fourth proportional to 707.11, 975.63 and 412.37 is: 568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.11 : 975.63 = 412.37 : x
  2. Step 2: Convert to fraction form
    707.11/975.63 = 412.37/x
  3. Step 3: Cross multiply
    707.11x = 975.63 × 412.37
  4. Step 4: Simplify right side
    707.11x = 402,326.36
  5. Step 5: Solve for x
    x = 402,326.36/707.11
  6. Step 6: Final answer
    x = 568.97

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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.