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Finding the Fourth Proportional to 647.80, 972.06 and 301.30

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Solution

The fourth proportional to 647.80, 972.06 and 301.30 is: 452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.80 : 972.06 = 301.30 : x
  2. Step 2: Convert to fraction form
    647.80/972.06 = 301.30/x
  3. Step 3: Cross multiply
    647.80x = 972.06 × 301.30
  4. Step 4: Simplify right side
    647.80x = 292,885.28
  5. Step 5: Solve for x
    x = 292,885.28/647.80
  6. Step 6: Final answer
    x = 452.12

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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.