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Finding the Fourth Proportional to 654.17, 981.20 and 307.42

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Solution

The fourth proportional to 654.17, 981.20 and 307.42 is: 461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.17 : 981.20 = 307.42 : x
  2. Step 2: Convert to fraction form
    654.17/981.20 = 307.42/x
  3. Step 3: Cross multiply
    654.17x = 981.20 × 307.42
  4. Step 4: Simplify right side
    654.17x = 301,638.82
  5. Step 5: Solve for x
    x = 301,638.82/654.17
  6. Step 6: Final answer
    x = 461.10

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1.5x scale

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.