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Finding the Fourth Proportional to 654.72, 904.67 and 467.88

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Solution

The fourth proportional to 654.72, 904.67 and 467.88 is: 646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.72 : 904.67 = 467.88 : x
  2. Step 2: Convert to fraction form
    654.72/904.67 = 467.88/x
  3. Step 3: Cross multiply
    654.72x = 904.67 × 467.88
  4. Step 4: Simplify right side
    654.72x = 423,273.02
  5. Step 5: Solve for x
    x = 423,273.02/654.72
  6. Step 6: Final answer
    x = 646.50

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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.