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Finding the Fourth Proportional to 656.30, 983.85 and 601.63

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Solution

The fourth proportional to 656.30, 983.85 and 601.63 is: 901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.30 : 983.85 = 601.63 : x
  2. Step 2: Convert to fraction form
    656.30/983.85 = 601.63/x
  3. Step 3: Cross multiply
    656.30x = 983.85 × 601.63
  4. Step 4: Simplify right side
    656.30x = 591,908.96
  5. Step 5: Solve for x
    x = 591,908.96/656.30
  6. Step 6: Final answer
    x = 901.88

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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.