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Finding the Fourth Proportional to 790.68, 1,186.59 and 444.30

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Solution

The fourth proportional to 790.68, 1,186.59 and 444.30 is: 666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.68 : 1,186.59 = 444.30 : x
  2. Step 2: Convert to fraction form
    790.68/1,186.59 = 444.30/x
  3. Step 3: Cross multiply
    790.68x = 1,186.59 × 444.30
  4. Step 4: Simplify right side
    790.68x = 527,201.94
  5. Step 5: Solve for x
    x = 527,201.94/790.68
  6. Step 6: Final answer
    x = 666.77

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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.