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Finding the Fourth Proportional to 654.08, 975.60 and 605.28

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Solution

The fourth proportional to 654.08, 975.60 and 605.28 is: 902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.08 : 975.60 = 605.28 : x
  2. Step 2: Convert to fraction form
    654.08/975.60 = 605.28/x
  3. Step 3: Cross multiply
    654.08x = 975.60 × 605.28
  4. Step 4: Simplify right side
    654.08x = 590,511.17
  5. Step 5: Solve for x
    x = 590,511.17/654.08
  6. Step 6: Final answer
    x = 902.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.