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Finding the Fourth Proportional to 523.47, 786.02 and 500.39

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Solution

The fourth proportional to 523.47, 786.02 and 500.39 is: 751.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.47 : 786.02 = 500.39 : x
  2. Step 2: Convert to fraction form
    523.47/786.02 = 500.39/x
  3. Step 3: Cross multiply
    523.47x = 786.02 × 500.39
  4. Step 4: Simplify right side
    523.47x = 393,316.55
  5. Step 5: Solve for x
    x = 393,316.55/523.47
  6. Step 6: Final answer
    x = 751.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.