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Finding the Fourth Proportional to 707.06, 975.75 and 431.06

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Solution

The fourth proportional to 707.06, 975.75 and 431.06 is: 594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.06 : 975.75 = 431.06 : x
  2. Step 2: Convert to fraction form
    707.06/975.75 = 431.06/x
  3. Step 3: Cross multiply
    707.06x = 975.75 × 431.06
  4. Step 4: Simplify right side
    707.06x = 420,607.62
  5. Step 5: Solve for x
    x = 420,607.62/707.06
  6. Step 6: Final answer
    x = 594.87

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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.