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Finding the Fourth Proportional to 647.40, 966.34 and 556.68

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Solution

The fourth proportional to 647.40, 966.34 and 556.68 is: 830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.40 : 966.34 = 556.68 : x
  2. Step 2: Convert to fraction form
    647.40/966.34 = 556.68/x
  3. Step 3: Cross multiply
    647.40x = 966.34 × 556.68
  4. Step 4: Simplify right side
    647.40x = 537,942.15
  5. Step 5: Solve for x
    x = 537,942.15/647.40
  6. Step 6: Final answer
    x = 830.93

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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.