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Finding the Fourth Proportional to 654.24, 901.61 and 642.23

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Solution

The fourth proportional to 654.24, 901.61 and 642.23 is: 885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 901.61 = 642.23 : x
  2. Step 2: Convert to fraction form
    654.24/901.61 = 642.23/x
  3. Step 3: Cross multiply
    654.24x = 901.61 × 642.23
  4. Step 4: Simplify right side
    654.24x = 579,037.78
  5. Step 5: Solve for x
    x = 579,037.78/654.24
  6. Step 6: Final answer
    x = 885.05

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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.