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Finding the Fourth Proportional to 656.79, 906.26 and 408.03

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Solution

The fourth proportional to 656.79, 906.26 and 408.03 is: 563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.79 : 906.26 = 408.03 : x
  2. Step 2: Convert to fraction form
    656.79/906.26 = 408.03/x
  3. Step 3: Cross multiply
    656.79x = 906.26 × 408.03
  4. Step 4: Simplify right side
    656.79x = 369,779.23
  5. Step 5: Solve for x
    x = 369,779.23/656.79
  6. Step 6: Final answer
    x = 563.01

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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.