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Finding the Fourth Proportional to 803.86, 1,109.50 and 509.52

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Solution

The fourth proportional to 803.86, 1,109.50 and 509.52 is: 703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.86 : 1,109.50 = 509.52 : x
  2. Step 2: Convert to fraction form
    803.86/1,109.50 = 509.52/x
  3. Step 3: Cross multiply
    803.86x = 1,109.50 × 509.52
  4. Step 4: Simplify right side
    803.86x = 565,312.44
  5. Step 5: Solve for x
    x = 565,312.44/803.86
  6. Step 6: Final answer
    x = 703.25

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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.