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Finding the Fourth Proportional to 753.08, 1,128.09 and 509

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Solution

The fourth proportional to 753.08, 1,128.09 and 509 is: 762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.08 : 1,128.09 = 509 : x
  2. Step 2: Convert to fraction form
    753.08/1,128.09 = 509/x
  3. Step 3: Cross multiply
    753.08x = 1,128.09 × 509
  4. Step 4: Simplify right side
    753.08x = 574,197.81
  5. Step 5: Solve for x
    x = 574,197.81/753.08
  6. Step 6: Final answer
    x = 762.47

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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.