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Finding the Fourth Proportional to 1,047.38, 1,571.19 and 790.61

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Solution

The fourth proportional to 1,047.38, 1,571.19 and 790.61 is: 1,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.38 : 1,571.19 = 790.61 : x
  2. Step 2: Convert to fraction form
    1,047.38/1,571.19 = 790.61/x
  3. Step 3: Cross multiply
    1,047.38x = 1,571.19 × 790.61
  4. Step 4: Simplify right side
    1,047.38x = 1,242,190.67
  5. Step 5: Solve for x
    x = 1,242,190.67/1,047.38
  6. Step 6: Final answer
    x = 1,186.00

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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.