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Finding the Fourth Proportional to 468.02, 705.20 and 388.64

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Solution

The fourth proportional to 468.02, 705.20 and 388.64 is: 585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 705.20 = 388.64 : x
  2. Step 2: Convert to fraction form
    468.02/705.20 = 388.64/x
  3. Step 3: Cross multiply
    468.02x = 705.20 × 388.64
  4. Step 4: Simplify right side
    468.02x = 274,063.46
  5. Step 5: Solve for x
    x = 274,063.46/468.02
  6. Step 6: Final answer
    x = 585.59

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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.