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Finding the Fourth Proportional to 785.32, 1,178.21 and 491.83

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Solution

The fourth proportional to 785.32, 1,178.21 and 491.83 is: 737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.32 : 1,178.21 = 491.83 : x
  2. Step 2: Convert to fraction form
    785.32/1,178.21 = 491.83/x
  3. Step 3: Cross multiply
    785.32x = 1,178.21 × 491.83
  4. Step 4: Simplify right side
    785.32x = 579,477.31
  5. Step 5: Solve for x
    x = 579,477.31/785.32
  6. Step 6: Final answer
    x = 737.89

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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.