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Finding the Fourth Proportional to 469.03, 699.40 and 446.03

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Solution

The fourth proportional to 469.03, 699.40 and 446.03 is: 665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.03 : 699.40 = 446.03 : x
  2. Step 2: Convert to fraction form
    469.03/699.40 = 446.03/x
  3. Step 3: Cross multiply
    469.03x = 699.40 × 446.03
  4. Step 4: Simplify right side
    469.03x = 311,953.38
  5. Step 5: Solve for x
    x = 311,953.38/469.03
  6. Step 6: Final answer
    x = 665.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.