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Finding the Fourth Proportional to 647.17, 969.30 and 464.00

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Solution

The fourth proportional to 647.17, 969.30 and 464.00 is: 694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.17 : 969.30 = 464.00 : x
  2. Step 2: Convert to fraction form
    647.17/969.30 = 464.00/x
  3. Step 3: Cross multiply
    647.17x = 969.30 × 464.00
  4. Step 4: Simplify right side
    647.17x = 449,750.35
  5. Step 5: Solve for x
    x = 449,750.35/647.17
  6. Step 6: Final answer
    x = 694.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.