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Finding the Fourth Proportional to 473.91, 651.35 and 418.31

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Solution

The fourth proportional to 473.91, 651.35 and 418.31 is: 574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.91 : 651.35 = 418.31 : x
  2. Step 2: Convert to fraction form
    473.91/651.35 = 418.31/x
  3. Step 3: Cross multiply
    473.91x = 651.35 × 418.31
  4. Step 4: Simplify right side
    473.91x = 272,466.22
  5. Step 5: Solve for x
    x = 272,466.22/473.91
  6. Step 6: Final answer
    x = 574.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.