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Finding the Fourth Proportional to 434.65, 648.61 and 388.50

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Solution

The fourth proportional to 434.65, 648.61 and 388.50 is: 579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.65 : 648.61 = 388.50 : x
  2. Step 2: Convert to fraction form
    434.65/648.61 = 388.50/x
  3. Step 3: Cross multiply
    434.65x = 648.61 × 388.50
  4. Step 4: Simplify right side
    434.65x = 251,984.99
  5. Step 5: Solve for x
    x = 251,984.99/434.65
  6. Step 6: Final answer
    x = 579.74

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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.