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Finding the Fourth Proportional to 476.22, 713.11 and 436.12

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Solution

The fourth proportional to 476.22, 713.11 and 436.12 is: 653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.22 : 713.11 = 436.12 : x
  2. Step 2: Convert to fraction form
    476.22/713.11 = 436.12/x
  3. Step 3: Cross multiply
    476.22x = 713.11 × 436.12
  4. Step 4: Simplify right side
    476.22x = 311,001.53
  5. Step 5: Solve for x
    x = 311,001.53/476.22
  6. Step 6: Final answer
    x = 653.06

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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.