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Finding the Fourth Proportional to 475.93, 656.61 and 289.29

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Solution

The fourth proportional to 475.93, 656.61 and 289.29 is: 399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.93 : 656.61 = 289.29 : x
  2. Step 2: Convert to fraction form
    475.93/656.61 = 289.29/x
  3. Step 3: Cross multiply
    475.93x = 656.61 × 289.29
  4. Step 4: Simplify right side
    475.93x = 189,950.71
  5. Step 5: Solve for x
    x = 189,950.71/475.93
  6. Step 6: Final answer
    x = 399.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.