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Finding the Fourth Proportional to 1,509.33, 2,263.55 and 728.90

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Solution

The fourth proportional to 1,509.33, 2,263.55 and 728.90 is: 1,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.33 : 2,263.55 = 728.90 : x
  2. Step 2: Convert to fraction form
    1,509.33/2,263.55 = 728.90/x
  3. Step 3: Cross multiply
    1,509.33x = 2,263.55 × 728.90
  4. Step 4: Simplify right side
    1,509.33x = 1,649,895.12
  5. Step 5: Solve for x
    x = 1,649,895.12/1,509.33
  6. Step 6: Final answer
    x = 1,093.13

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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.