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Finding the Fourth Proportional to 895.74, 1,237.73 and 859.29

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Solution

The fourth proportional to 895.74, 1,237.73 and 859.29 is: 1,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.74 : 1,237.73 = 859.29 : x
  2. Step 2: Convert to fraction form
    895.74/1,237.73 = 859.29/x
  3. Step 3: Cross multiply
    895.74x = 1,237.73 × 859.29
  4. Step 4: Simplify right side
    895.74x = 1,063,564.72
  5. Step 5: Solve for x
    x = 1,063,564.72/895.74
  6. Step 6: Final answer
    x = 1,187.36

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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.