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Finding the Fourth Proportional to 667.04, 1,003.88 and 503.35

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Solution

The fourth proportional to 667.04, 1,003.88 and 503.35 is: 757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.04 : 1,003.88 = 503.35 : x
  2. Step 2: Convert to fraction form
    667.04/1,003.88 = 503.35/x
  3. Step 3: Cross multiply
    667.04x = 1,003.88 × 503.35
  4. Step 4: Simplify right side
    667.04x = 505,303.00
  5. Step 5: Solve for x
    x = 505,303.00/667.04
  6. Step 6: Final answer
    x = 757.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.