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Finding the Fourth Proportional to 475.13, 713.37 and 302.88

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Solution

The fourth proportional to 475.13, 713.37 and 302.88 is: 454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.13 : 713.37 = 302.88 : x
  2. Step 2: Convert to fraction form
    475.13/713.37 = 302.88/x
  3. Step 3: Cross multiply
    475.13x = 713.37 × 302.88
  4. Step 4: Simplify right side
    475.13x = 216,065.51
  5. Step 5: Solve for x
    x = 216,065.51/475.13
  6. Step 6: Final answer
    x = 454.76

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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.