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Finding the Fourth Proportional to 515.84, 710.88 and 399.04

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Solution

The fourth proportional to 515.84, 710.88 and 399.04 is: 549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.84 : 710.88 = 399.04 : x
  2. Step 2: Convert to fraction form
    515.84/710.88 = 399.04/x
  3. Step 3: Cross multiply
    515.84x = 710.88 × 399.04
  4. Step 4: Simplify right side
    515.84x = 283,669.56
  5. Step 5: Solve for x
    x = 283,669.56/515.84
  6. Step 6: Final answer
    x = 549.92

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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.