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Finding the Fourth Proportional to 430.52, 642.43 and 384.50

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Solution

The fourth proportional to 430.52, 642.43 and 384.50 is: 573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.52 : 642.43 = 384.50 : x
  2. Step 2: Convert to fraction form
    430.52/642.43 = 384.50/x
  3. Step 3: Cross multiply
    430.52x = 642.43 × 384.50
  4. Step 4: Simplify right side
    430.52x = 247,012.81
  5. Step 5: Solve for x
    x = 247,012.81/430.52
  6. Step 6: Final answer
    x = 573.76

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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.