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Finding the Fourth Proportional to 647.90, 966.62 and 641.01

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Solution

The fourth proportional to 647.90, 966.62 and 641.01 is: 956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.90 : 966.62 = 641.01 : x
  2. Step 2: Convert to fraction form
    647.90/966.62 = 641.01/x
  3. Step 3: Cross multiply
    647.90x = 966.62 × 641.01
  4. Step 4: Simplify right side
    647.90x = 619,613.09
  5. Step 5: Solve for x
    x = 619,613.09/647.90
  6. Step 6: Final answer
    x = 956.35

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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.