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Finding the Fourth Proportional to 525.10, 722.91 and 447.02

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Solution

The fourth proportional to 525.10, 722.91 and 447.02 is: 615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.10 : 722.91 = 447.02 : x
  2. Step 2: Convert to fraction form
    525.10/722.91 = 447.02/x
  3. Step 3: Cross multiply
    525.10x = 722.91 × 447.02
  4. Step 4: Simplify right side
    525.10x = 323,155.23
  5. Step 5: Solve for x
    x = 323,155.23/525.10
  6. Step 6: Final answer
    x = 615.42

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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.