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Finding the Fourth Proportional to 525.07, 722.94 and 427.15

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Solution

The fourth proportional to 525.07, 722.94 and 427.15 is: 588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.07 : 722.94 = 427.15 : x
  2. Step 2: Convert to fraction form
    525.07/722.94 = 427.15/x
  3. Step 3: Cross multiply
    525.07x = 722.94 × 427.15
  4. Step 4: Simplify right side
    525.07x = 308,803.82
  5. Step 5: Solve for x
    x = 308,803.82/525.07
  6. Step 6: Final answer
    x = 588.12

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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.