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Finding the Fourth Proportional to 656.40, 905.48 and 558.16

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Solution

The fourth proportional to 656.40, 905.48 and 558.16 is: 769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.40 : 905.48 = 558.16 : x
  2. Step 2: Convert to fraction form
    656.40/905.48 = 558.16/x
  3. Step 3: Cross multiply
    656.40x = 905.48 × 558.16
  4. Step 4: Simplify right side
    656.40x = 505,402.72
  5. Step 5: Solve for x
    x = 505,402.72/656.40
  6. Step 6: Final answer
    x = 769.96

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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.