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Finding the Fourth Proportional to 654.08, 901.53 and 457.25

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Solution

The fourth proportional to 654.08, 901.53 and 457.25 is: 630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.08 : 901.53 = 457.25 : x
  2. Step 2: Convert to fraction form
    654.08/901.53 = 457.25/x
  3. Step 3: Cross multiply
    654.08x = 901.53 × 457.25
  4. Step 4: Simplify right side
    654.08x = 412,220.08
  5. Step 5: Solve for x
    x = 412,220.08/654.08
  6. Step 6: Final answer
    x = 630.23

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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.