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Finding the Fourth Proportional to 515.98, 712.03 and 283.11

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Solution

The fourth proportional to 515.98, 712.03 and 283.11 is: 390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.98 : 712.03 = 283.11 : x
  2. Step 2: Convert to fraction form
    515.98/712.03 = 283.11/x
  3. Step 3: Cross multiply
    515.98x = 712.03 × 283.11
  4. Step 4: Simplify right side
    515.98x = 201,582.81
  5. Step 5: Solve for x
    x = 201,582.81/515.98
  6. Step 6: Final answer
    x = 390.68

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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.