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Finding the Fourth Proportional to 710.78, 976.86 and 637.88

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Solution

The fourth proportional to 710.78, 976.86 and 637.88 is: 876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.78 : 976.86 = 637.88 : x
  2. Step 2: Convert to fraction form
    710.78/976.86 = 637.88/x
  3. Step 3: Cross multiply
    710.78x = 976.86 × 637.88
  4. Step 4: Simplify right side
    710.78x = 623,114.57
  5. Step 5: Solve for x
    x = 623,114.57/710.78
  6. Step 6: Final answer
    x = 876.67

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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.