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Finding the Fourth Proportional to 430.86, 647.72 and 350.27

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Solution

The fourth proportional to 430.86, 647.72 and 350.27 is: 526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.86 : 647.72 = 350.27 : x
  2. Step 2: Convert to fraction form
    430.86/647.72 = 350.27/x
  3. Step 3: Cross multiply
    430.86x = 647.72 × 350.27
  4. Step 4: Simplify right side
    430.86x = 226,871.89
  5. Step 5: Solve for x
    x = 226,871.89/430.86
  6. Step 6: Final answer
    x = 526.56

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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.