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Finding the Fourth Proportional to 645, 968.66 and 618.90

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Solution

The fourth proportional to 645, 968.66 and 618.90 is: 929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645 : 968.66 = 618.90 : x
  2. Step 2: Convert to fraction form
    645/968.66 = 618.90/x
  3. Step 3: Cross multiply
    645x = 968.66 × 618.90
  4. Step 4: Simplify right side
    645x = 599,503.67
  5. Step 5: Solve for x
    x = 599,503.67/645
  6. Step 6: Final answer
    x = 929.46

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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.