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Finding the Fourth Proportional to 430.78, 597.20 and 408.54

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Solution

The fourth proportional to 430.78, 597.20 and 408.54 is: 566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.78 : 597.20 = 408.54 : x
  2. Step 2: Convert to fraction form
    430.78/597.20 = 408.54/x
  3. Step 3: Cross multiply
    430.78x = 597.20 × 408.54
  4. Step 4: Simplify right side
    430.78x = 243,980.09
  5. Step 5: Solve for x
    x = 243,980.09/430.78
  6. Step 6: Final answer
    x = 566.37

Related Problems

Find fourth proportional to 215.39, 298.60 and 204.27
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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.