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Finding the Fourth Proportional to 647.81, 897.75 and 635.50

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Solution

The fourth proportional to 647.81, 897.75 and 635.50 is: 880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.81 : 897.75 = 635.50 : x
  2. Step 2: Convert to fraction form
    647.81/897.75 = 635.50/x
  3. Step 3: Cross multiply
    647.81x = 897.75 × 635.50
  4. Step 4: Simplify right side
    647.81x = 570,512.46
  5. Step 5: Solve for x
    x = 570,512.46/647.81
  6. Step 6: Final answer
    x = 880.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.