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Finding the Fourth Proportional to 654.26, 901.25 and 506.63

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Solution

The fourth proportional to 654.26, 901.25 and 506.63 is: 697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.26 : 901.25 = 506.63 : x
  2. Step 2: Convert to fraction form
    654.26/901.25 = 506.63/x
  3. Step 3: Cross multiply
    654.26x = 901.25 × 506.63
  4. Step 4: Simplify right side
    654.26x = 456,600.29
  5. Step 5: Solve for x
    x = 456,600.29/654.26
  6. Step 6: Final answer
    x = 697.89

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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.