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Finding the Fourth Proportional to 430.80, 642.74 and 384.60

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Solution

The fourth proportional to 430.80, 642.74 and 384.60 is: 573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.80 : 642.74 = 384.60 : x
  2. Step 2: Convert to fraction form
    430.80/642.74 = 384.60/x
  3. Step 3: Cross multiply
    430.80x = 642.74 × 384.60
  4. Step 4: Simplify right side
    430.80x = 247,197.80
  5. Step 5: Solve for x
    x = 247,197.80/430.80
  6. Step 6: Final answer
    x = 573.81

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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.