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Finding the Fourth Proportional to 790.00, 1,184.93 and 445.47

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Solution

The fourth proportional to 790.00, 1,184.93 and 445.47 is: 668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.00 : 1,184.93 = 445.47 : x
  2. Step 2: Convert to fraction form
    790.00/1,184.93 = 445.47/x
  3. Step 3: Cross multiply
    790.00x = 1,184.93 × 445.47
  4. Step 4: Simplify right side
    790.00x = 527,855.76
  5. Step 5: Solve for x
    x = 527,855.76/790.00
  6. Step 6: Final answer
    x = 668.17

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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.