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Finding the Fourth Proportional to 517.94, 715.34 and 511.13

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Solution

The fourth proportional to 517.94, 715.34 and 511.13 is: 705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.94 : 715.34 = 511.13 : x
  2. Step 2: Convert to fraction form
    517.94/715.34 = 511.13/x
  3. Step 3: Cross multiply
    517.94x = 715.34 × 511.13
  4. Step 4: Simplify right side
    517.94x = 365,631.73
  5. Step 5: Solve for x
    x = 365,631.73/517.94
  6. Step 6: Final answer
    x = 705.93

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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.