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Finding the Fourth Proportional to 1,125.64, 1,689.08 and 509.30

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Solution

The fourth proportional to 1,125.64, 1,689.08 and 509.30 is: 764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.64 : 1,689.08 = 509.30 : x
  2. Step 2: Convert to fraction form
    1,125.64/1,689.08 = 509.30/x
  3. Step 3: Cross multiply
    1,125.64x = 1,689.08 × 509.30
  4. Step 4: Simplify right side
    1,125.64x = 860,245.90
  5. Step 5: Solve for x
    x = 860,245.90/1,125.64
  6. Step 6: Final answer
    x = 764.23

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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.