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Finding the Fourth Proportional to 670.06, 1,003.74 and 507.34

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Solution

The fourth proportional to 670.06, 1,003.74 and 507.34 is: 759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.06 : 1,003.74 = 507.34 : x
  2. Step 2: Convert to fraction form
    670.06/1,003.74 = 507.34/x
  3. Step 3: Cross multiply
    670.06x = 1,003.74 × 507.34
  4. Step 4: Simplify right side
    670.06x = 509,237.45
  5. Step 5: Solve for x
    x = 509,237.45/670.06
  6. Step 6: Final answer
    x = 759.99

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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.