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Finding the Fourth Proportional to 581.63, 804.29 and 489.51

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Solution

The fourth proportional to 581.63, 804.29 and 489.51 is: 676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.63 : 804.29 = 489.51 : x
  2. Step 2: Convert to fraction form
    581.63/804.29 = 489.51/x
  3. Step 3: Cross multiply
    581.63x = 804.29 × 489.51
  4. Step 4: Simplify right side
    581.63x = 393,705.55
  5. Step 5: Solve for x
    x = 393,705.55/581.63
  6. Step 6: Final answer
    x = 676.91

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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.