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Finding the Fourth Proportional to 999.70, 1,501.17 and 782.62

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Solution

The fourth proportional to 999.70, 1,501.17 and 782.62 is: 1,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.70 : 1,501.17 = 782.62 : x
  2. Step 2: Convert to fraction form
    999.70/1,501.17 = 782.62/x
  3. Step 3: Cross multiply
    999.70x = 1,501.17 × 782.62
  4. Step 4: Simplify right side
    999.70x = 1,174,845.67
  5. Step 5: Solve for x
    x = 1,174,845.67/999.70
  6. Step 6: Final answer
    x = 1,175.20

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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.