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Finding the Fourth Proportional to 647.31, 897.05 and 635.00

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Solution

The fourth proportional to 647.31, 897.05 and 635.00 is: 879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.31 : 897.05 = 635.00 : x
  2. Step 2: Convert to fraction form
    647.31/897.05 = 635.00/x
  3. Step 3: Cross multiply
    647.31x = 897.05 × 635.00
  4. Step 4: Simplify right side
    647.31x = 569,622.26
  5. Step 5: Solve for x
    x = 569,622.26/647.31
  6. Step 6: Final answer
    x = 879.98

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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.