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Finding the Fourth Proportional to 670.26, 926.67 and 505.32

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Solution

The fourth proportional to 670.26, 926.67 and 505.32 is: 698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.26 : 926.67 = 505.32 : x
  2. Step 2: Convert to fraction form
    670.26/926.67 = 505.32/x
  3. Step 3: Cross multiply
    670.26x = 926.67 × 505.32
  4. Step 4: Simplify right side
    670.26x = 468,264.88
  5. Step 5: Solve for x
    x = 468,264.88/670.26
  6. Step 6: Final answer
    x = 698.63

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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.