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Finding the Fourth Proportional to 538.47, 811.03 and 500.45

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Solution

The fourth proportional to 538.47, 811.03 and 500.45 is: 753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 811.03 = 500.45 : x
  2. Step 2: Convert to fraction form
    538.47/811.03 = 500.45/x
  3. Step 3: Cross multiply
    538.47x = 811.03 × 500.45
  4. Step 4: Simplify right side
    538.47x = 405,879.96
  5. Step 5: Solve for x
    x = 405,879.96/538.47
  6. Step 6: Final answer
    x = 753.77

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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.