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Finding the Fourth Proportional to 813.58, 1,219.74 and 489.16

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Solution

The fourth proportional to 813.58, 1,219.74 and 489.16 is: 733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.58 : 1,219.74 = 489.16 : x
  2. Step 2: Convert to fraction form
    813.58/1,219.74 = 489.16/x
  3. Step 3: Cross multiply
    813.58x = 1,219.74 × 489.16
  4. Step 4: Simplify right side
    813.58x = 596,648.02
  5. Step 5: Solve for x
    x = 596,648.02/813.58
  6. Step 6: Final answer
    x = 733.36

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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.