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Finding the Fourth Proportional to 656.80, 904.40 and 540.16

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Solution

The fourth proportional to 656.80, 904.40 and 540.16 is: 743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.80 : 904.40 = 540.16 : x
  2. Step 2: Convert to fraction form
    656.80/904.40 = 540.16/x
  3. Step 3: Cross multiply
    656.80x = 904.40 × 540.16
  4. Step 4: Simplify right side
    656.80x = 488,520.70
  5. Step 5: Solve for x
    x = 488,520.70/656.80
  6. Step 6: Final answer
    x = 743.79

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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.