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Finding the Fourth Proportional to 656.45, 904.60 and 614.33

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Solution

The fourth proportional to 656.45, 904.60 and 614.33 is: 846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.45 : 904.60 = 614.33 : x
  2. Step 2: Convert to fraction form
    656.45/904.60 = 614.33/x
  3. Step 3: Cross multiply
    656.45x = 904.60 × 614.33
  4. Step 4: Simplify right side
    656.45x = 555,722.92
  5. Step 5: Solve for x
    x = 555,722.92/656.45
  6. Step 6: Final answer
    x = 846.56

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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.