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Finding the Fourth Proportional to 550.83, 828.08 and 430.55

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Solution

The fourth proportional to 550.83, 828.08 and 430.55 is: 647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.83 : 828.08 = 430.55 : x
  2. Step 2: Convert to fraction form
    550.83/828.08 = 430.55/x
  3. Step 3: Cross multiply
    550.83x = 828.08 × 430.55
  4. Step 4: Simplify right side
    550.83x = 356,523.55
  5. Step 5: Solve for x
    x = 356,523.55/550.83
  6. Step 6: Final answer
    x = 647.25

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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.