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Finding the Fourth Proportional to 430.96, 643.11 and 384.81

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Solution

The fourth proportional to 430.96, 643.11 and 384.81 is: 574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.96 : 643.11 = 384.81 : x
  2. Step 2: Convert to fraction form
    430.96/643.11 = 384.81/x
  3. Step 3: Cross multiply
    430.96x = 643.11 × 384.81
  4. Step 4: Simplify right side
    430.96x = 247,475.16
  5. Step 5: Solve for x
    x = 247,475.16/430.96
  6. Step 6: Final answer
    x = 574.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.