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Finding the Fourth Proportional to 430.38, 644.49 and 407.16

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Solution

The fourth proportional to 430.38, 644.49 and 407.16 is: 609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 644.49 = 407.16 : x
  2. Step 2: Convert to fraction form
    430.38/644.49 = 407.16/x
  3. Step 3: Cross multiply
    430.38x = 644.49 × 407.16
  4. Step 4: Simplify right side
    430.38x = 262,410.55
  5. Step 5: Solve for x
    x = 262,410.55/430.38
  6. Step 6: Final answer
    x = 609.72

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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.