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Finding the Fourth Proportional to 656.46, 905.90 and 420.30

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Solution

The fourth proportional to 656.46, 905.90 and 420.30 is: 580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.46 : 905.90 = 420.30 : x
  2. Step 2: Convert to fraction form
    656.46/905.90 = 420.30/x
  3. Step 3: Cross multiply
    656.46x = 905.90 × 420.30
  4. Step 4: Simplify right side
    656.46x = 380,747.67
  5. Step 5: Solve for x
    x = 380,747.67/656.46
  6. Step 6: Final answer
    x = 580.00

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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.