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Finding the Fourth Proportional to 1,041.23, 1,560.63 and 553.41

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Solution

The fourth proportional to 1,041.23, 1,560.63 and 553.41 is: 829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.23 : 1,560.63 = 553.41 : x
  2. Step 2: Convert to fraction form
    1,041.23/1,560.63 = 553.41/x
  3. Step 3: Cross multiply
    1,041.23x = 1,560.63 × 553.41
  4. Step 4: Simplify right side
    1,041.23x = 863,668.25
  5. Step 5: Solve for x
    x = 863,668.25/1,041.23
  6. Step 6: Final answer
    x = 829.47

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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.