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Finding the Fourth Proportional to 712.40, 983.22 and 515.84

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Solution

The fourth proportional to 712.40, 983.22 and 515.84 is: 711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.40 : 983.22 = 515.84 : x
  2. Step 2: Convert to fraction form
    712.40/983.22 = 515.84/x
  3. Step 3: Cross multiply
    712.40x = 983.22 × 515.84
  4. Step 4: Simplify right side
    712.40x = 507,184.20
  5. Step 5: Solve for x
    x = 507,184.20/712.40
  6. Step 6: Final answer
    x = 711.94

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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.