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Finding the Fourth Proportional to 583.44, 803 and 489.12

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Solution

The fourth proportional to 583.44, 803 and 489.12 is: 673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.44 : 803 = 489.12 : x
  2. Step 2: Convert to fraction form
    583.44/803 = 489.12/x
  3. Step 3: Cross multiply
    583.44x = 803 × 489.12
  4. Step 4: Simplify right side
    583.44x = 392,763.36
  5. Step 5: Solve for x
    x = 392,763.36/583.44
  6. Step 6: Final answer
    x = 673.19

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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.