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Finding the Fourth Proportional to 656.07, 904.84 and 577.22

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Solution

The fourth proportional to 656.07, 904.84 and 577.22 is: 796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.07 : 904.84 = 577.22 : x
  2. Step 2: Convert to fraction form
    656.07/904.84 = 577.22/x
  3. Step 3: Cross multiply
    656.07x = 904.84 × 577.22
  4. Step 4: Simplify right side
    656.07x = 522,285.78
  5. Step 5: Solve for x
    x = 522,285.78/656.07
  6. Step 6: Final answer
    x = 796.09

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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.