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Finding the Fourth Proportional to 475.60, 656.45 and 289.10

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Solution

The fourth proportional to 475.60, 656.45 and 289.10 is: 399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.60 : 656.45 = 289.10 : x
  2. Step 2: Convert to fraction form
    475.60/656.45 = 289.10/x
  3. Step 3: Cross multiply
    475.60x = 656.45 × 289.10
  4. Step 4: Simplify right side
    475.60x = 189,779.70
  5. Step 5: Solve for x
    x = 189,779.70/475.60
  6. Step 6: Final answer
    x = 399.03

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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.