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Finding the Fourth Proportional to 1,007.10, 1,509.60 and 486.33

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Solution

The fourth proportional to 1,007.10, 1,509.60 and 486.33 is: 728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.10 : 1,509.60 = 486.33 : x
  2. Step 2: Convert to fraction form
    1,007.10/1,509.60 = 486.33/x
  3. Step 3: Cross multiply
    1,007.10x = 1,509.60 × 486.33
  4. Step 4: Simplify right side
    1,007.10x = 734,163.77
  5. Step 5: Solve for x
    x = 734,163.77/1,007.10
  6. Step 6: Final answer
    x = 728.99

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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.