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Finding the Fourth Proportional to 637.89, 962.14 and 561.80

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Solution

The fourth proportional to 637.89, 962.14 and 561.80 is: 847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.89 : 962.14 = 561.80 : x
  2. Step 2: Convert to fraction form
    637.89/962.14 = 561.80/x
  3. Step 3: Cross multiply
    637.89x = 962.14 × 561.80
  4. Step 4: Simplify right side
    637.89x = 540,533.36
  5. Step 5: Solve for x
    x = 540,533.36/637.89
  6. Step 6: Final answer
    x = 847.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.