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Finding the Fourth Proportional to 389.60, 587.08 and 322.63

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Solution

The fourth proportional to 389.60, 587.08 and 322.63 is: 486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.60 : 587.08 = 322.63 : x
  2. Step 2: Convert to fraction form
    389.60/587.08 = 322.63/x
  3. Step 3: Cross multiply
    389.60x = 587.08 × 322.63
  4. Step 4: Simplify right side
    389.60x = 189,408.01
  5. Step 5: Solve for x
    x = 189,408.01/389.60
  6. Step 6: Final answer
    x = 486.16

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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.