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Finding the Fourth Proportional to 389.93, 587.76 and 384.47

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Solution

The fourth proportional to 389.93, 587.76 and 384.47 is: 579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.93 : 587.76 = 384.47 : x
  2. Step 2: Convert to fraction form
    389.93/587.76 = 384.47/x
  3. Step 3: Cross multiply
    389.93x = 587.76 × 384.47
  4. Step 4: Simplify right side
    389.93x = 225,973.15
  5. Step 5: Solve for x
    x = 225,973.15/389.93
  6. Step 6: Final answer
    x = 579.52

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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.