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Finding the Fourth Proportional to 790.93, 1,186.53 and 346.60

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Solution

The fourth proportional to 790.93, 1,186.53 and 346.60 is: 519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.93 : 1,186.53 = 346.60 : x
  2. Step 2: Convert to fraction form
    790.93/1,186.53 = 346.60/x
  3. Step 3: Cross multiply
    790.93x = 1,186.53 × 346.60
  4. Step 4: Simplify right side
    790.93x = 411,251.30
  5. Step 5: Solve for x
    x = 411,251.30/790.93
  6. Step 6: Final answer
    x = 519.96

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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.