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Finding the Fourth Proportional to 707.42, 976.28 and 408.74

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Solution

The fourth proportional to 707.42, 976.28 and 408.74 is: 564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.42 : 976.28 = 408.74 : x
  2. Step 2: Convert to fraction form
    707.42/976.28 = 408.74/x
  3. Step 3: Cross multiply
    707.42x = 976.28 × 408.74
  4. Step 4: Simplify right side
    707.42x = 399,037.76
  5. Step 5: Solve for x
    x = 399,037.76/707.42
  6. Step 6: Final answer
    x = 564.08

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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.