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Finding the Fourth Proportional to 656.44, 904.02 and 654.46

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Solution

The fourth proportional to 656.44, 904.02 and 654.46 is: 901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.44 : 904.02 = 654.46 : x
  2. Step 2: Convert to fraction form
    656.44/904.02 = 654.46/x
  3. Step 3: Cross multiply
    656.44x = 904.02 × 654.46
  4. Step 4: Simplify right side
    656.44x = 591,644.93
  5. Step 5: Solve for x
    x = 591,644.93/656.44
  6. Step 6: Final answer
    x = 901.29

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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.