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Finding the Fourth Proportional to 646.87, 975.18 and 605.11

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Solution

The fourth proportional to 646.87, 975.18 and 605.11 is: 912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.87 : 975.18 = 605.11 : x
  2. Step 2: Convert to fraction form
    646.87/975.18 = 605.11/x
  3. Step 3: Cross multiply
    646.87x = 975.18 × 605.11
  4. Step 4: Simplify right side
    646.87x = 590,091.17
  5. Step 5: Solve for x
    x = 590,091.17/646.87
  6. Step 6: Final answer
    x = 912.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.