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Finding the Fourth Proportional to 619.24, 854.94 and 465.16

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Solution

The fourth proportional to 619.24, 854.94 and 465.16 is: 642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.24 : 854.94 = 465.16 : x
  2. Step 2: Convert to fraction form
    619.24/854.94 = 465.16/x
  3. Step 3: Cross multiply
    619.24x = 854.94 × 465.16
  4. Step 4: Simplify right side
    619.24x = 397,683.89
  5. Step 5: Solve for x
    x = 397,683.89/619.24
  6. Step 6: Final answer
    x = 642.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.