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Finding the Fourth Proportional to 511.65, 706.59 and 364.59

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Solution

The fourth proportional to 511.65, 706.59 and 364.59 is: 503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 706.59 = 364.59 : x
  2. Step 2: Convert to fraction form
    511.65/706.59 = 364.59/x
  3. Step 3: Cross multiply
    511.65x = 706.59 × 364.59
  4. Step 4: Simplify right side
    511.65x = 257,615.65
  5. Step 5: Solve for x
    x = 257,615.65/511.65
  6. Step 6: Final answer
    x = 503.50

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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.