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Finding the Fourth Proportional to 555.63, 832.06 and 418.94

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Solution

The fourth proportional to 555.63, 832.06 and 418.94 is: 627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.63 : 832.06 = 418.94 : x
  2. Step 2: Convert to fraction form
    555.63/832.06 = 418.94/x
  3. Step 3: Cross multiply
    555.63x = 832.06 × 418.94
  4. Step 4: Simplify right side
    555.63x = 348,582.70
  5. Step 5: Solve for x
    x = 348,582.70/555.63
  6. Step 6: Final answer
    x = 627.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.