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Finding the Fourth Proportional to 656.37, 904.70 and 563.22

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Solution

The fourth proportional to 656.37, 904.70 and 563.22 is: 776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.37 : 904.70 = 563.22 : x
  2. Step 2: Convert to fraction form
    656.37/904.70 = 563.22/x
  3. Step 3: Cross multiply
    656.37x = 904.70 × 563.22
  4. Step 4: Simplify right side
    656.37x = 509,546.54
  5. Step 5: Solve for x
    x = 509,546.54/656.37
  6. Step 6: Final answer
    x = 776.31

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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.