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Finding the Fourth Proportional to 661.64, 993.06 and 353.74

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Solution

The fourth proportional to 661.64, 993.06 and 353.74 is: 530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.64 : 993.06 = 353.74 : x
  2. Step 2: Convert to fraction form
    661.64/993.06 = 353.74/x
  3. Step 3: Cross multiply
    661.64x = 993.06 × 353.74
  4. Step 4: Simplify right side
    661.64x = 351,285.04
  5. Step 5: Solve for x
    x = 351,285.04/661.64
  6. Step 6: Final answer
    x = 530.93

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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.