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Finding the Fourth Proportional to 1,021.50, 1,409.79 and 607.50

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Solution

The fourth proportional to 1,021.50, 1,409.79 and 607.50 is: 838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.50 : 1,409.79 = 607.50 : x
  2. Step 2: Convert to fraction form
    1,021.50/1,409.79 = 607.50/x
  3. Step 3: Cross multiply
    1,021.50x = 1,409.79 × 607.50
  4. Step 4: Simplify right side
    1,021.50x = 856,447.43
  5. Step 5: Solve for x
    x = 856,447.43/1,021.50
  6. Step 6: Final answer
    x = 838.42

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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.