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Finding the Fourth Proportional to 1,312.93, 1,969.73 and 491.21

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Solution

The fourth proportional to 1,312.93, 1,969.73 and 491.21 is: 736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.93 : 1,969.73 = 491.21 : x
  2. Step 2: Convert to fraction form
    1,312.93/1,969.73 = 491.21/x
  3. Step 3: Cross multiply
    1,312.93x = 1,969.73 × 491.21
  4. Step 4: Simplify right side
    1,312.93x = 967,551.07
  5. Step 5: Solve for x
    x = 967,551.07/1,312.93
  6. Step 6: Final answer
    x = 736.94

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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.