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Finding the Fourth Proportional to 524.47, 723.36 and 384.54

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Solution

The fourth proportional to 524.47, 723.36 and 384.54 is: 530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.47 : 723.36 = 384.54 : x
  2. Step 2: Convert to fraction form
    524.47/723.36 = 384.54/x
  3. Step 3: Cross multiply
    524.47x = 723.36 × 384.54
  4. Step 4: Simplify right side
    524.47x = 278,160.85
  5. Step 5: Solve for x
    x = 278,160.85/524.47
  6. Step 6: Final answer
    x = 530.37

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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.