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Finding the Fourth Proportional to 538.00, 802.71 and 486.27

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Solution

The fourth proportional to 538.00, 802.71 and 486.27 is: 725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.00 : 802.71 = 486.27 : x
  2. Step 2: Convert to fraction form
    538.00/802.71 = 486.27/x
  3. Step 3: Cross multiply
    538.00x = 802.71 × 486.27
  4. Step 4: Simplify right side
    538.00x = 390,333.79
  5. Step 5: Solve for x
    x = 390,333.79/538.00
  6. Step 6: Final answer
    x = 725.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.