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Finding the Fourth Proportional to 1,041.70, 1,437.65 and 622.05

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Solution

The fourth proportional to 1,041.70, 1,437.65 and 622.05 is: 858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.70 : 1,437.65 = 622.05 : x
  2. Step 2: Convert to fraction form
    1,041.70/1,437.65 = 622.05/x
  3. Step 3: Cross multiply
    1,041.70x = 1,437.65 × 622.05
  4. Step 4: Simplify right side
    1,041.70x = 894,287.07
  5. Step 5: Solve for x
    x = 894,287.07/1,041.70
  6. Step 6: Final answer
    x = 858.49

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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.