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Finding the Fourth Proportional to 767.65, 1,059.80 and 506.12

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Solution

The fourth proportional to 767.65, 1,059.80 and 506.12 is: 698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.65 : 1,059.80 = 506.12 : x
  2. Step 2: Convert to fraction form
    767.65/1,059.80 = 506.12/x
  3. Step 3: Cross multiply
    767.65x = 1,059.80 × 506.12
  4. Step 4: Simplify right side
    767.65x = 536,384.11
  5. Step 5: Solve for x
    x = 536,384.11/767.65
  6. Step 6: Final answer
    x = 698.74

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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.