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Finding the Fourth Proportional to 1,041.93, 1,437.68 and 622.45

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Solution

The fourth proportional to 1,041.93, 1,437.68 and 622.45 is: 858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.93 : 1,437.68 = 622.45 : x
  2. Step 2: Convert to fraction form
    1,041.93/1,437.68 = 622.45/x
  3. Step 3: Cross multiply
    1,041.93x = 1,437.68 × 622.45
  4. Step 4: Simplify right side
    1,041.93x = 894,883.92
  5. Step 5: Solve for x
    x = 894,883.92/1,041.93
  6. Step 6: Final answer
    x = 858.87

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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.