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Finding the Fourth Proportional to 1,585.41, 2,187.49 and 955.77

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Solution

The fourth proportional to 1,585.41, 2,187.49 and 955.77 is: 1,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.41 : 2,187.49 = 955.77 : x
  2. Step 2: Convert to fraction form
    1,585.41/2,187.49 = 955.77/x
  3. Step 3: Cross multiply
    1,585.41x = 2,187.49 × 955.77
  4. Step 4: Simplify right side
    1,585.41x = 2,090,737.32
  5. Step 5: Solve for x
    x = 2,090,737.32/1,585.41
  6. Step 6: Final answer
    x = 1,318.74

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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.