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Finding the Fourth Proportional to 656.32, 983.76 and 396.40

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Solution

The fourth proportional to 656.32, 983.76 and 396.40 is: 594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.32 : 983.76 = 396.40 : x
  2. Step 2: Convert to fraction form
    656.32/983.76 = 396.40/x
  3. Step 3: Cross multiply
    656.32x = 983.76 × 396.40
  4. Step 4: Simplify right side
    656.32x = 389,962.46
  5. Step 5: Solve for x
    x = 389,962.46/656.32
  6. Step 6: Final answer
    x = 594.17

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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.