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Finding the Fourth Proportional to 466.20, 695.88 and 412.16

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Solution

The fourth proportional to 466.20, 695.88 and 412.16 is: 615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.20 : 695.88 = 412.16 : x
  2. Step 2: Convert to fraction form
    466.20/695.88 = 412.16/x
  3. Step 3: Cross multiply
    466.20x = 695.88 × 412.16
  4. Step 4: Simplify right side
    466.20x = 286,813.90
  5. Step 5: Solve for x
    x = 286,813.90/466.20
  6. Step 6: Final answer
    x = 615.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.