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Finding the Fourth Proportional to 784.49, 1,175.91 and 373.43

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Solution

The fourth proportional to 784.49, 1,175.91 and 373.43 is: 559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.49 : 1,175.91 = 373.43 : x
  2. Step 2: Convert to fraction form
    784.49/1,175.91 = 373.43/x
  3. Step 3: Cross multiply
    784.49x = 1,175.91 × 373.43
  4. Step 4: Simplify right side
    784.49x = 439,120.07
  5. Step 5: Solve for x
    x = 439,120.07/784.49
  6. Step 6: Final answer
    x = 559.75

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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.