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Finding the Fourth Proportional to 515, 711.24 and 511.40

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Solution

The fourth proportional to 515, 711.24 and 511.40 is: 706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515 : 711.24 = 511.40 : x
  2. Step 2: Convert to fraction form
    515/711.24 = 511.40/x
  3. Step 3: Cross multiply
    515x = 711.24 × 511.40
  4. Step 4: Simplify right side
    515x = 363,728.14
  5. Step 5: Solve for x
    x = 363,728.14/515
  6. Step 6: Final answer
    x = 706.27

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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.