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Finding the Fourth Proportional to 647.63, 966.67 and 566.02

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Solution

The fourth proportional to 647.63, 966.67 and 566.02 is: 844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.63 : 966.67 = 566.02 : x
  2. Step 2: Convert to fraction form
    647.63/966.67 = 566.02/x
  3. Step 3: Cross multiply
    647.63x = 966.67 × 566.02
  4. Step 4: Simplify right side
    647.63x = 547,154.35
  5. Step 5: Solve for x
    x = 547,154.35/647.63
  6. Step 6: Final answer
    x = 844.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.