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Finding the Fourth Proportional to 1,483.52, 2,225.28 and 509.90

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Solution

The fourth proportional to 1,483.52, 2,225.28 and 509.90 is: 764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.52 : 2,225.28 = 509.90 : x
  2. Step 2: Convert to fraction form
    1,483.52/2,225.28 = 509.90/x
  3. Step 3: Cross multiply
    1,483.52x = 2,225.28 × 509.90
  4. Step 4: Simplify right side
    1,483.52x = 1,134,670.27
  5. Step 5: Solve for x
    x = 1,134,670.27/1,483.52
  6. Step 6: Final answer
    x = 764.85

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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.