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Finding the Fourth Proportional to 785.68, 1,178.25 and 374.47

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Solution

The fourth proportional to 785.68, 1,178.25 and 374.47 is: 561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.68 : 1,178.25 = 374.47 : x
  2. Step 2: Convert to fraction form
    785.68/1,178.25 = 374.47/x
  3. Step 3: Cross multiply
    785.68x = 1,178.25 × 374.47
  4. Step 4: Simplify right side
    785.68x = 441,219.28
  5. Step 5: Solve for x
    x = 441,219.28/785.68
  6. Step 6: Final answer
    x = 561.58

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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.