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Finding the Fourth Proportional to 709.01, 978.36 and 410.21

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Solution

The fourth proportional to 709.01, 978.36 and 410.21 is: 566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.01 : 978.36 = 410.21 : x
  2. Step 2: Convert to fraction form
    709.01/978.36 = 410.21/x
  3. Step 3: Cross multiply
    709.01x = 978.36 × 410.21
  4. Step 4: Simplify right side
    709.01x = 401,333.06
  5. Step 5: Solve for x
    x = 401,333.06/709.01
  6. Step 6: Final answer
    x = 566.05

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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.