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Finding the Fourth Proportional to 1,291.02, 1,945.32 and 1,064.94

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Solution

The fourth proportional to 1,291.02, 1,945.32 and 1,064.94 is: 1,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.02 : 1,945.32 = 1,064.94 : x
  2. Step 2: Convert to fraction form
    1,291.02/1,945.32 = 1,064.94/x
  3. Step 3: Cross multiply
    1,291.02x = 1,945.32 × 1,064.94
  4. Step 4: Simplify right side
    1,291.02x = 2,071,649.08
  5. Step 5: Solve for x
    x = 2,071,649.08/1,291.02
  6. Step 6: Final answer
    x = 1,604.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.