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Finding the Fourth Proportional to 656.29, 978.89 and 618.22

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Solution

The fourth proportional to 656.29, 978.89 and 618.22 is: 922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.29 : 978.89 = 618.22 : x
  2. Step 2: Convert to fraction form
    656.29/978.89 = 618.22/x
  3. Step 3: Cross multiply
    656.29x = 978.89 × 618.22
  4. Step 4: Simplify right side
    656.29x = 605,169.38
  5. Step 5: Solve for x
    x = 605,169.38/656.29
  6. Step 6: Final answer
    x = 922.11

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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.