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Finding the Fourth Proportional to 1,368.91, 2,053.59 and 491.32

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Solution

The fourth proportional to 1,368.91, 2,053.59 and 491.32 is: 737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.91 : 2,053.59 = 491.32 : x
  2. Step 2: Convert to fraction form
    1,368.91/2,053.59 = 491.32/x
  3. Step 3: Cross multiply
    1,368.91x = 2,053.59 × 491.32
  4. Step 4: Simplify right side
    1,368.91x = 1,008,969.84
  5. Step 5: Solve for x
    x = 1,008,969.84/1,368.91
  6. Step 6: Final answer
    x = 737.06

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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.