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Finding the Fourth Proportional to 710.84, 977.15 and 635.36

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Solution

The fourth proportional to 710.84, 977.15 and 635.36 is: 873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.84 : 977.15 = 635.36 : x
  2. Step 2: Convert to fraction form
    710.84/977.15 = 635.36/x
  3. Step 3: Cross multiply
    710.84x = 977.15 × 635.36
  4. Step 4: Simplify right side
    710.84x = 620,833.96
  5. Step 5: Solve for x
    x = 620,833.96/710.84
  6. Step 6: Final answer
    x = 873.39

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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.