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Finding the Fourth Proportional to 708.18, 977.76 and 443.02

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Solution

The fourth proportional to 708.18, 977.76 and 443.02 is: 611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.18 : 977.76 = 443.02 : x
  2. Step 2: Convert to fraction form
    708.18/977.76 = 443.02/x
  3. Step 3: Cross multiply
    708.18x = 977.76 × 443.02
  4. Step 4: Simplify right side
    708.18x = 433,167.24
  5. Step 5: Solve for x
    x = 433,167.24/708.18
  6. Step 6: Final answer
    x = 611.66

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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.