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Finding the Fourth Proportional to 1,158.66, 1,741.23 and 581.94

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Solution

The fourth proportional to 1,158.66, 1,741.23 and 581.94 is: 874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.66 : 1,741.23 = 581.94 : x
  2. Step 2: Convert to fraction form
    1,158.66/1,741.23 = 581.94/x
  3. Step 3: Cross multiply
    1,158.66x = 1,741.23 × 581.94
  4. Step 4: Simplify right side
    1,158.66x = 1,013,291.39
  5. Step 5: Solve for x
    x = 1,013,291.39/1,158.66
  6. Step 6: Final answer
    x = 874.54

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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.