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Finding the Fourth Proportional to 669.85, 924.66 and 442.69

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Solution

The fourth proportional to 669.85, 924.66 and 442.69 is: 611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.85 : 924.66 = 442.69 : x
  2. Step 2: Convert to fraction form
    669.85/924.66 = 442.69/x
  3. Step 3: Cross multiply
    669.85x = 924.66 × 442.69
  4. Step 4: Simplify right side
    669.85x = 409,337.74
  5. Step 5: Solve for x
    x = 409,337.74/669.85
  6. Step 6: Final answer
    x = 611.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.