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Finding the Fourth Proportional to 645.17, 968.66 and 615.81

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Solution

The fourth proportional to 645.17, 968.66 and 615.81 is: 924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.17 : 968.66 = 615.81 : x
  2. Step 2: Convert to fraction form
    645.17/968.66 = 615.81/x
  3. Step 3: Cross multiply
    645.17x = 968.66 × 615.81
  4. Step 4: Simplify right side
    645.17x = 596,507.44
  5. Step 5: Solve for x
    x = 596,507.44/645.17
  6. Step 6: Final answer
    x = 924.58

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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.