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Finding the Fourth Proportional to 524.04, 722.26 and 450.06

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Solution

The fourth proportional to 524.04, 722.26 and 450.06 is: 620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 722.26 = 450.06 : x
  2. Step 2: Convert to fraction form
    524.04/722.26 = 450.06/x
  3. Step 3: Cross multiply
    524.04x = 722.26 × 450.06
  4. Step 4: Simplify right side
    524.04x = 325,060.34
  5. Step 5: Solve for x
    x = 325,060.34/524.04
  6. Step 6: Final answer
    x = 620.30

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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.