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Finding the Fourth Proportional to 1,368.68, 2,053.79 and 906.68

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Solution

The fourth proportional to 1,368.68, 2,053.79 and 906.68 is: 1,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.68 : 2,053.79 = 906.68 : x
  2. Step 2: Convert to fraction form
    1,368.68/2,053.79 = 906.68/x
  3. Step 3: Cross multiply
    1,368.68x = 2,053.79 × 906.68
  4. Step 4: Simplify right side
    1,368.68x = 1,862,115.51
  5. Step 5: Solve for x
    x = 1,862,115.51/1,368.68
  6. Step 6: Final answer
    x = 1,360.52

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1.5x scale

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.