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Finding the Fourth Proportional to 710.86, 981.23 and 412.24

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Solution

The fourth proportional to 710.86, 981.23 and 412.24 is: 569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.86 : 981.23 = 412.24 : x
  2. Step 2: Convert to fraction form
    710.86/981.23 = 412.24/x
  3. Step 3: Cross multiply
    710.86x = 981.23 × 412.24
  4. Step 4: Simplify right side
    710.86x = 404,500.83
  5. Step 5: Solve for x
    x = 404,500.83/710.86
  6. Step 6: Final answer
    x = 569.03

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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.