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Finding the Fourth Proportional to 899, 1,345.11 and 849.59

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Solution

The fourth proportional to 899, 1,345.11 and 849.59 is: 1,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    899 : 1,345.11 = 849.59 : x
  2. Step 2: Convert to fraction form
    899/1,345.11 = 849.59/x
  3. Step 3: Cross multiply
    899x = 1,345.11 × 849.59
  4. Step 4: Simplify right side
    899x = 1,142,792.00
  5. Step 5: Solve for x
    x = 1,142,792.00/899
  6. Step 6: Final answer
    x = 1,271.18

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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.