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Finding the Fourth Proportional to 462.24, 689.72 and 416.22

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Solution

The fourth proportional to 462.24, 689.72 and 416.22 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 689.72 = 416.22 : x
  2. Step 2: Convert to fraction form
    462.24/689.72 = 416.22/x
  3. Step 3: Cross multiply
    462.24x = 689.72 × 416.22
  4. Step 4: Simplify right side
    462.24x = 287,073.18
  5. Step 5: Solve for x
    x = 287,073.18/462.24
  6. Step 6: Final answer
    x = 621.05

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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.