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Finding the Fourth Proportional to 782.06, 1,170.70 and 507.60

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Solution

The fourth proportional to 782.06, 1,170.70 and 507.60 is: 759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.06 : 1,170.70 = 507.60 : x
  2. Step 2: Convert to fraction form
    782.06/1,170.70 = 507.60/x
  3. Step 3: Cross multiply
    782.06x = 1,170.70 × 507.60
  4. Step 4: Simplify right side
    782.06x = 594,247.32
  5. Step 5: Solve for x
    x = 594,247.32/782.06
  6. Step 6: Final answer
    x = 759.85

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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.