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Finding the Fourth Proportional to 707.41, 975.84 and 427.73

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Solution

The fourth proportional to 707.41, 975.84 and 427.73 is: 590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.41 : 975.84 = 427.73 : x
  2. Step 2: Convert to fraction form
    707.41/975.84 = 427.73/x
  3. Step 3: Cross multiply
    707.41x = 975.84 × 427.73
  4. Step 4: Simplify right side
    707.41x = 417,395.02
  5. Step 5: Solve for x
    x = 417,395.02/707.41
  6. Step 6: Final answer
    x = 590.04

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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.