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Finding the Fourth Proportional to 462.08, 689.21 and 400.72

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Solution

The fourth proportional to 462.08, 689.21 and 400.72 is: 597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.08 : 689.21 = 400.72 : x
  2. Step 2: Convert to fraction form
    462.08/689.21 = 400.72/x
  3. Step 3: Cross multiply
    462.08x = 689.21 × 400.72
  4. Step 4: Simplify right side
    462.08x = 276,181.24
  5. Step 5: Solve for x
    x = 276,181.24/462.08
  6. Step 6: Final answer
    x = 597.69

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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.