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Finding the Fourth Proportional to 856.00, 1,283.51 and 509.57

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Solution

The fourth proportional to 856.00, 1,283.51 and 509.57 is: 764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.00 : 1,283.51 = 509.57 : x
  2. Step 2: Convert to fraction form
    856.00/1,283.51 = 509.57/x
  3. Step 3: Cross multiply
    856.00x = 1,283.51 × 509.57
  4. Step 4: Simplify right side
    856.00x = 654,038.85
  5. Step 5: Solve for x
    x = 654,038.85/856.00
  6. Step 6: Final answer
    x = 764.07

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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.