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Finding the Fourth Proportional to 488.16, 732.81 and 385.51

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Solution

The fourth proportional to 488.16, 732.81 and 385.51 is: 578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 732.81 = 385.51 : x
  2. Step 2: Convert to fraction form
    488.16/732.81 = 385.51/x
  3. Step 3: Cross multiply
    488.16x = 732.81 × 385.51
  4. Step 4: Simplify right side
    488.16x = 282,505.58
  5. Step 5: Solve for x
    x = 282,505.58/488.16
  6. Step 6: Final answer
    x = 578.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.