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Finding the Fourth Proportional to 511.72, 705.54 and 373.48

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Solution

The fourth proportional to 511.72, 705.54 and 373.48 is: 514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.72 : 705.54 = 373.48 : x
  2. Step 2: Convert to fraction form
    511.72/705.54 = 373.48/x
  3. Step 3: Cross multiply
    511.72x = 705.54 × 373.48
  4. Step 4: Simplify right side
    511.72x = 263,505.08
  5. Step 5: Solve for x
    x = 263,505.08/511.72
  6. Step 6: Final answer
    x = 514.94

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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.