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Finding the Fourth Proportional to 430.92, 642.60 and 382.32

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Solution

The fourth proportional to 430.92, 642.60 and 382.32 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.92 : 642.60 = 382.32 : x
  2. Step 2: Convert to fraction form
    430.92/642.60 = 382.32/x
  3. Step 3: Cross multiply
    430.92x = 642.60 × 382.32
  4. Step 4: Simplify right side
    430.92x = 245,678.83
  5. Step 5: Solve for x
    x = 245,678.83/430.92
  6. Step 6: Final answer
    x = 570.13

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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.