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Finding the Fourth Proportional to 708.40, 977.52 and 393.66

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Solution

The fourth proportional to 708.40, 977.52 and 393.66 is: 543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.40 : 977.52 = 393.66 : x
  2. Step 2: Convert to fraction form
    708.40/977.52 = 393.66/x
  3. Step 3: Cross multiply
    708.40x = 977.52 × 393.66
  4. Step 4: Simplify right side
    708.40x = 384,810.52
  5. Step 5: Solve for x
    x = 384,810.52/708.40
  6. Step 6: Final answer
    x = 543.21

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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.