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Finding the Fourth Proportional to 656.64, 983.68 and 352

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Solution

The fourth proportional to 656.64, 983.68 and 352 is: 527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.64 : 983.68 = 352 : x
  2. Step 2: Convert to fraction form
    656.64/983.68 = 352/x
  3. Step 3: Cross multiply
    656.64x = 983.68 × 352
  4. Step 4: Simplify right side
    656.64x = 346,255.36
  5. Step 5: Solve for x
    x = 346,255.36/656.64
  6. Step 6: Final answer
    x = 527.31

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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.