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Finding the Fourth Proportional to 515.36, 711.15 and 405.10

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Solution

The fourth proportional to 515.36, 711.15 and 405.10 is: 559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.36 : 711.15 = 405.10 : x
  2. Step 2: Convert to fraction form
    515.36/711.15 = 405.10/x
  3. Step 3: Cross multiply
    515.36x = 711.15 × 405.10
  4. Step 4: Simplify right side
    515.36x = 288,086.87
  5. Step 5: Solve for x
    x = 288,086.87/515.36
  6. Step 6: Final answer
    x = 559.00

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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.