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Finding the Fourth Proportional to 707.45, 976.26 and 431.45

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Solution

The fourth proportional to 707.45, 976.26 and 431.45 is: 595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.45 : 976.26 = 431.45 : x
  2. Step 2: Convert to fraction form
    707.45/976.26 = 431.45/x
  3. Step 3: Cross multiply
    707.45x = 976.26 × 431.45
  4. Step 4: Simplify right side
    707.45x = 421,202.50
  5. Step 5: Solve for x
    x = 421,202.50/707.45
  6. Step 6: Final answer
    x = 595.39

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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.