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Finding the Fourth Proportional to 487.16, 729.44 and 384.64

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Solution

The fourth proportional to 487.16, 729.44 and 384.64 is: 575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.16 : 729.44 = 384.64 : x
  2. Step 2: Convert to fraction form
    487.16/729.44 = 384.64/x
  3. Step 3: Cross multiply
    487.16x = 729.44 × 384.64
  4. Step 4: Simplify right side
    487.16x = 280,571.80
  5. Step 5: Solve for x
    x = 280,571.80/487.16
  6. Step 6: Final answer
    x = 575.93

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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.