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Finding the Fourth Proportional to 710.50, 981.30 and 477.22

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Solution

The fourth proportional to 710.50, 981.30 and 477.22 is: 659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.50 : 981.30 = 477.22 : x
  2. Step 2: Convert to fraction form
    710.50/981.30 = 477.22/x
  3. Step 3: Cross multiply
    710.50x = 981.30 × 477.22
  4. Step 4: Simplify right side
    710.50x = 468,295.99
  5. Step 5: Solve for x
    x = 468,295.99/710.50
  6. Step 6: Final answer
    x = 659.11

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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.