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Finding the Fourth Proportional to 708.04, 977.97 and 511.21

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Solution

The fourth proportional to 708.04, 977.97 and 511.21 is: 706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.04 : 977.97 = 511.21 : x
  2. Step 2: Convert to fraction form
    708.04/977.97 = 511.21/x
  3. Step 3: Cross multiply
    708.04x = 977.97 × 511.21
  4. Step 4: Simplify right side
    708.04x = 499,948.04
  5. Step 5: Solve for x
    x = 499,948.04/708.04
  6. Step 6: Final answer
    x = 706.10

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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.