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Finding the Fourth Proportional to 708.07, 977.13 and 397.57

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Solution

The fourth proportional to 708.07, 977.13 and 397.57 is: 548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.07 : 977.13 = 397.57 : x
  2. Step 2: Convert to fraction form
    708.07/977.13 = 397.57/x
  3. Step 3: Cross multiply
    708.07x = 977.13 × 397.57
  4. Step 4: Simplify right side
    708.07x = 388,477.57
  5. Step 5: Solve for x
    x = 388,477.57/708.07
  6. Step 6: Final answer
    x = 548.64

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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.