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Finding the Fourth Proportional to 707.07, 975.70 and 415.78

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Solution

The fourth proportional to 707.07, 975.70 and 415.78 is: 573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.07 : 975.70 = 415.78 : x
  2. Step 2: Convert to fraction form
    707.07/975.70 = 415.78/x
  3. Step 3: Cross multiply
    707.07x = 975.70 × 415.78
  4. Step 4: Simplify right side
    707.07x = 405,676.55
  5. Step 5: Solve for x
    x = 405,676.55/707.07
  6. Step 6: Final answer
    x = 573.74

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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.