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Finding the Fourth Proportional to 928.68, 1,389.65 and 800.19

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Solution

The fourth proportional to 928.68, 1,389.65 and 800.19 is: 1,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.68 : 1,389.65 = 800.19 : x
  2. Step 2: Convert to fraction form
    928.68/1,389.65 = 800.19/x
  3. Step 3: Cross multiply
    928.68x = 1,389.65 × 800.19
  4. Step 4: Simplify right side
    928.68x = 1,111,980.03
  5. Step 5: Solve for x
    x = 1,111,980.03/928.68
  6. Step 6: Final answer
    x = 1,197.38

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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.