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Finding the Fourth Proportional to 711.06, 983.79 and 579.84

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Solution

The fourth proportional to 711.06, 983.79 and 579.84 is: 802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.06 : 983.79 = 579.84 : x
  2. Step 2: Convert to fraction form
    711.06/983.79 = 579.84/x
  3. Step 3: Cross multiply
    711.06x = 983.79 × 579.84
  4. Step 4: Simplify right side
    711.06x = 570,440.79
  5. Step 5: Solve for x
    x = 570,440.79/711.06
  6. Step 6: Final answer
    x = 802.24

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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.