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Finding the Fourth Proportional to 475.79, 712.78 and 456.00

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Solution

The fourth proportional to 475.79, 712.78 and 456.00 is: 683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.79 : 712.78 = 456.00 : x
  2. Step 2: Convert to fraction form
    475.79/712.78 = 456.00/x
  3. Step 3: Cross multiply
    475.79x = 712.78 × 456.00
  4. Step 4: Simplify right side
    475.79x = 325,023.87
  5. Step 5: Solve for x
    x = 325,023.87/475.79
  6. Step 6: Final answer
    x = 683.13

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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.