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Finding the Fourth Proportional to 524.36, 723.56 and 288.29

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Solution

The fourth proportional to 524.36, 723.56 and 288.29 is: 397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.36 : 723.56 = 288.29 : x
  2. Step 2: Convert to fraction form
    524.36/723.56 = 288.29/x
  3. Step 3: Cross multiply
    524.36x = 723.56 × 288.29
  4. Step 4: Simplify right side
    524.36x = 208,595.48
  5. Step 5: Solve for x
    x = 208,595.48/524.36
  6. Step 6: Final answer
    x = 397.81

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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.