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Finding the Fourth Proportional to 1,316.57, 1,970.06 and 794.66

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Solution

The fourth proportional to 1,316.57, 1,970.06 and 794.66 is: 1,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.57 : 1,970.06 = 794.66 : x
  2. Step 2: Convert to fraction form
    1,316.57/1,970.06 = 794.66/x
  3. Step 3: Cross multiply
    1,316.57x = 1,970.06 × 794.66
  4. Step 4: Simplify right side
    1,316.57x = 1,565,514.06
  5. Step 5: Solve for x
    x = 1,565,514.06/1,316.57
  6. Step 6: Final answer
    x = 1,189.09

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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.