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Finding the Fourth Proportional to 804.15, 1,109.57 and 509.49

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Solution

The fourth proportional to 804.15, 1,109.57 and 509.49 is: 702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.15 : 1,109.57 = 509.49 : x
  2. Step 2: Convert to fraction form
    804.15/1,109.57 = 509.49/x
  3. Step 3: Cross multiply
    804.15x = 1,109.57 × 509.49
  4. Step 4: Simplify right side
    804.15x = 565,312.27
  5. Step 5: Solve for x
    x = 565,312.27/804.15
  6. Step 6: Final answer
    x = 702.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.