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Finding the Fourth Proportional to 709.70, 977.04 and 675.05

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Solution

The fourth proportional to 709.70, 977.04 and 675.05 is: 929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.70 : 977.04 = 675.05 : x
  2. Step 2: Convert to fraction form
    709.70/977.04 = 675.05/x
  3. Step 3: Cross multiply
    709.70x = 977.04 × 675.05
  4. Step 4: Simplify right side
    709.70x = 659,545.97
  5. Step 5: Solve for x
    x = 659,545.97/709.70
  6. Step 6: Final answer
    x = 929.34

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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.