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Finding the Fourth Proportional to 1,490.66, 2,055.69 and 893.06

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Solution

The fourth proportional to 1,490.66, 2,055.69 and 893.06 is: 1,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.66 : 2,055.69 = 893.06 : x
  2. Step 2: Convert to fraction form
    1,490.66/2,055.69 = 893.06/x
  3. Step 3: Cross multiply
    1,490.66x = 2,055.69 × 893.06
  4. Step 4: Simplify right side
    1,490.66x = 1,835,854.51
  5. Step 5: Solve for x
    x = 1,835,854.51/1,490.66
  6. Step 6: Final answer
    x = 1,231.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.