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Finding the Fourth Proportional to 803.30, 1,107.50 and 593.40

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Solution

The fourth proportional to 803.30, 1,107.50 and 593.40 is: 818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.30 : 1,107.50 = 593.40 : x
  2. Step 2: Convert to fraction form
    803.30/1,107.50 = 593.40/x
  3. Step 3: Cross multiply
    803.30x = 1,107.50 × 593.40
  4. Step 4: Simplify right side
    803.30x = 657,190.50
  5. Step 5: Solve for x
    x = 657,190.50/803.30
  6. Step 6: Final answer
    x = 818.11

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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.