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Finding the Fourth Proportional to 427.14, 587.93 and 364.77

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Solution

The fourth proportional to 427.14, 587.93 and 364.77 is: 502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.14 : 587.93 = 364.77 : x
  2. Step 2: Convert to fraction form
    427.14/587.93 = 364.77/x
  3. Step 3: Cross multiply
    427.14x = 587.93 × 364.77
  4. Step 4: Simplify right side
    427.14x = 214,457.40
  5. Step 5: Solve for x
    x = 214,457.40/427.14
  6. Step 6: Final answer
    x = 502.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.