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Finding the Fourth Proportional to 647.20, 966.68 and 556.24

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Solution

The fourth proportional to 647.20, 966.68 and 556.24 is: 830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.20 : 966.68 = 556.24 : x
  2. Step 2: Convert to fraction form
    647.20/966.68 = 556.24/x
  3. Step 3: Cross multiply
    647.20x = 966.68 × 556.24
  4. Step 4: Simplify right side
    647.20x = 537,706.08
  5. Step 5: Solve for x
    x = 537,706.08/647.20
  6. Step 6: Final answer
    x = 830.82

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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.