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Finding the Fourth Proportional to 669.70, 1,004.58 and 344.98

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Solution

The fourth proportional to 669.70, 1,004.58 and 344.98 is: 517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.70 : 1,004.58 = 344.98 : x
  2. Step 2: Convert to fraction form
    669.70/1,004.58 = 344.98/x
  3. Step 3: Cross multiply
    669.70x = 1,004.58 × 344.98
  4. Step 4: Simplify right side
    669.70x = 346,560.01
  5. Step 5: Solve for x
    x = 346,560.01/669.70
  6. Step 6: Final answer
    x = 517.49

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Double scale
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1.5x scale

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.