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Finding the Fourth Proportional to 708.10, 977.16 and 409.40

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Solution

The fourth proportional to 708.10, 977.16 and 409.40 is: 564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.10 : 977.16 = 409.40 : x
  2. Step 2: Convert to fraction form
    708.10/977.16 = 409.40/x
  3. Step 3: Cross multiply
    708.10x = 977.16 × 409.40
  4. Step 4: Simplify right side
    708.10x = 400,049.30
  5. Step 5: Solve for x
    x = 400,049.30/708.10
  6. Step 6: Final answer
    x = 564.96

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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.