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Finding the Fourth Proportional to 475.01, 660.03 and 469.95

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Solution

The fourth proportional to 475.01, 660.03 and 469.95 is: 653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.01 : 660.03 = 469.95 : x
  2. Step 2: Convert to fraction form
    475.01/660.03 = 469.95/x
  3. Step 3: Cross multiply
    475.01x = 660.03 × 469.95
  4. Step 4: Simplify right side
    475.01x = 310,181.10
  5. Step 5: Solve for x
    x = 310,181.10/475.01
  6. Step 6: Final answer
    x = 653.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.