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Finding the Fourth Proportional to 813.49, 1,219.91 and 258.01

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Solution

The fourth proportional to 813.49, 1,219.91 and 258.01 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.49 : 1,219.91 = 258.01 : x
  2. Step 2: Convert to fraction form
    813.49/1,219.91 = 258.01/x
  3. Step 3: Cross multiply
    813.49x = 1,219.91 × 258.01
  4. Step 4: Simplify right side
    813.49x = 314,749.52
  5. Step 5: Solve for x
    x = 314,749.52/813.49
  6. Step 6: Final answer
    x = 386.91

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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.