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Finding the Fourth Proportional to 539.13, 804.91 and 488.10

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Solution

The fourth proportional to 539.13, 804.91 and 488.10 is: 728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.13 : 804.91 = 488.10 : x
  2. Step 2: Convert to fraction form
    539.13/804.91 = 488.10/x
  3. Step 3: Cross multiply
    539.13x = 804.91 × 488.10
  4. Step 4: Simplify right side
    539.13x = 392,875.35
  5. Step 5: Solve for x
    x = 392,875.35/539.13
  6. Step 6: Final answer
    x = 728.72

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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.