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Finding the Fourth Proportional to 784.11, 1,175.53 and 393.90

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Solution

The fourth proportional to 784.11, 1,175.53 and 393.90 is: 590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.11 : 1,175.53 = 393.90 : x
  2. Step 2: Convert to fraction form
    784.11/1,175.53 = 393.90/x
  3. Step 3: Cross multiply
    784.11x = 1,175.53 × 393.90
  4. Step 4: Simplify right side
    784.11x = 463,041.27
  5. Step 5: Solve for x
    x = 463,041.27/784.11
  6. Step 6: Final answer
    x = 590.53

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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.