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Finding the Fourth Proportional to 709.72, 970.74 and 698.38

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Solution

The fourth proportional to 709.72, 970.74 and 698.38 is: 955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.72 : 970.74 = 698.38 : x
  2. Step 2: Convert to fraction form
    709.72/970.74 = 698.38/x
  3. Step 3: Cross multiply
    709.72x = 970.74 × 698.38
  4. Step 4: Simplify right side
    709.72x = 677,945.40
  5. Step 5: Solve for x
    x = 677,945.40/709.72
  6. Step 6: Final answer
    x = 955.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.