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Finding the Fourth Proportional to 709.74, 977.37 and 625.29

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Solution

The fourth proportional to 709.74, 977.37 and 625.29 is: 861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 977.37 = 625.29 : x
  2. Step 2: Convert to fraction form
    709.74/977.37 = 625.29/x
  3. Step 3: Cross multiply
    709.74x = 977.37 × 625.29
  4. Step 4: Simplify right side
    709.74x = 611,139.69
  5. Step 5: Solve for x
    x = 611,139.69/709.74
  6. Step 6: Final answer
    x = 861.08

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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.