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Finding the Fourth Proportional to 678.23, 1,018.08 and 525.99

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Solution

The fourth proportional to 678.23, 1,018.08 and 525.99 is: 789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.23 : 1,018.08 = 525.99 : x
  2. Step 2: Convert to fraction form
    678.23/1,018.08 = 525.99/x
  3. Step 3: Cross multiply
    678.23x = 1,018.08 × 525.99
  4. Step 4: Simplify right side
    678.23x = 535,499.90
  5. Step 5: Solve for x
    x = 535,499.90/678.23
  6. Step 6: Final answer
    x = 789.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.