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Finding the Fourth Proportional to 656.84, 984.62 and 412.76

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Solution

The fourth proportional to 656.84, 984.62 and 412.76 is: 618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.84 : 984.62 = 412.76 : x
  2. Step 2: Convert to fraction form
    656.84/984.62 = 412.76/x
  3. Step 3: Cross multiply
    656.84x = 984.62 × 412.76
  4. Step 4: Simplify right side
    656.84x = 406,411.75
  5. Step 5: Solve for x
    x = 406,411.75/656.84
  6. Step 6: Final answer
    x = 618.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.