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Finding the Fourth Proportional to 1,306.98, 1,955.54 and 804.92

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Solution

The fourth proportional to 1,306.98, 1,955.54 and 804.92 is: 1,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.98 : 1,955.54 = 804.92 : x
  2. Step 2: Convert to fraction form
    1,306.98/1,955.54 = 804.92/x
  3. Step 3: Cross multiply
    1,306.98x = 1,955.54 × 804.92
  4. Step 4: Simplify right side
    1,306.98x = 1,574,045.49
  5. Step 5: Solve for x
    x = 1,574,045.49/1,306.98
  6. Step 6: Final answer
    x = 1,204.34

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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.