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Finding the Fourth Proportional to 1,483.15, 2,225.04 and 509.27

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Solution

The fourth proportional to 1,483.15, 2,225.04 and 509.27 is: 764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.15 : 2,225.04 = 509.27 : x
  2. Step 2: Convert to fraction form
    1,483.15/2,225.04 = 509.27/x
  3. Step 3: Cross multiply
    1,483.15x = 2,225.04 × 509.27
  4. Step 4: Simplify right side
    1,483.15x = 1,133,146.12
  5. Step 5: Solve for x
    x = 1,133,146.12/1,483.15
  6. Step 6: Final answer
    x = 764.01

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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.