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Finding the Fourth Proportional to 1,271.41, 1,903.47 and 833.16

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Solution

The fourth proportional to 1,271.41, 1,903.47 and 833.16 is: 1,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.41 : 1,903.47 = 833.16 : x
  2. Step 2: Convert to fraction form
    1,271.41/1,903.47 = 833.16/x
  3. Step 3: Cross multiply
    1,271.41x = 1,903.47 × 833.16
  4. Step 4: Simplify right side
    1,271.41x = 1,585,895.07
  5. Step 5: Solve for x
    x = 1,585,895.07/1,271.41
  6. Step 6: Final answer
    x = 1,247.35

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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.