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Finding the Fourth Proportional to 430.84, 650.95 and 427

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Solution

The fourth proportional to 430.84, 650.95 and 427 is: 645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.84 : 650.95 = 427 : x
  2. Step 2: Convert to fraction form
    430.84/650.95 = 427/x
  3. Step 3: Cross multiply
    430.84x = 650.95 × 427
  4. Step 4: Simplify right side
    430.84x = 277,955.65
  5. Step 5: Solve for x
    x = 277,955.65/430.84
  6. Step 6: Final answer
    x = 645.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.