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Finding the Fourth Proportional to 708, 977.06 and 393.26

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Solution

The fourth proportional to 708, 977.06 and 393.26 is: 542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708 : 977.06 = 393.26 : x
  2. Step 2: Convert to fraction form
    708/977.06 = 393.26/x
  3. Step 3: Cross multiply
    708x = 977.06 × 393.26
  4. Step 4: Simplify right side
    708x = 384,231.76
  5. Step 5: Solve for x
    x = 384,231.76/708
  6. Step 6: Final answer
    x = 542.70

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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.