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Finding the Fourth Proportional to 1,004.03, 1,504.10 and 612.86

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Solution

The fourth proportional to 1,004.03, 1,504.10 and 612.86 is: 918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.03 : 1,504.10 = 612.86 : x
  2. Step 2: Convert to fraction form
    1,004.03/1,504.10 = 612.86/x
  3. Step 3: Cross multiply
    1,004.03x = 1,504.10 × 612.86
  4. Step 4: Simplify right side
    1,004.03x = 921,792.14
  5. Step 5: Solve for x
    x = 921,792.14/1,004.03
  6. Step 6: Final answer
    x = 918.10

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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.