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Finding the Fourth Proportional to 656.42, 904.77 and 479.23

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Solution

The fourth proportional to 656.42, 904.77 and 479.23 is: 660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.42 : 904.77 = 479.23 : x
  2. Step 2: Convert to fraction form
    656.42/904.77 = 479.23/x
  3. Step 3: Cross multiply
    656.42x = 904.77 × 479.23
  4. Step 4: Simplify right side
    656.42x = 433,591.94
  5. Step 5: Solve for x
    x = 433,591.94/656.42
  6. Step 6: Final answer
    x = 660.54

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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.