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Finding the Fourth Proportional to 705.21, 972.76 and 410.43

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Solution

The fourth proportional to 705.21, 972.76 and 410.43 is: 566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.21 : 972.76 = 410.43 : x
  2. Step 2: Convert to fraction form
    705.21/972.76 = 410.43/x
  3. Step 3: Cross multiply
    705.21x = 972.76 × 410.43
  4. Step 4: Simplify right side
    705.21x = 399,249.89
  5. Step 5: Solve for x
    x = 399,249.89/705.21
  6. Step 6: Final answer
    x = 566.14

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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.