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Finding the Fourth Proportional to 667.04, 919.62 and 509.76

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Solution

The fourth proportional to 667.04, 919.62 and 509.76 is: 702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.04 : 919.62 = 509.76 : x
  2. Step 2: Convert to fraction form
    667.04/919.62 = 509.76/x
  3. Step 3: Cross multiply
    667.04x = 919.62 × 509.76
  4. Step 4: Simplify right side
    667.04x = 468,785.49
  5. Step 5: Solve for x
    x = 468,785.49/667.04
  6. Step 6: Final answer
    x = 702.79

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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.