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Finding the Fourth Proportional to 412.66, 619.74 and 402.94

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Solution

The fourth proportional to 412.66, 619.74 and 402.94 is: 605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.66 : 619.74 = 402.94 : x
  2. Step 2: Convert to fraction form
    412.66/619.74 = 402.94/x
  3. Step 3: Cross multiply
    412.66x = 619.74 × 402.94
  4. Step 4: Simplify right side
    412.66x = 249,718.04
  5. Step 5: Solve for x
    x = 249,718.04/412.66
  6. Step 6: Final answer
    x = 605.14

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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.