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Finding the Fourth Proportional to 780.93, 1,171.80 and 456.93

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Solution

The fourth proportional to 780.93, 1,171.80 and 456.93 is: 685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.93 : 1,171.80 = 456.93 : x
  2. Step 2: Convert to fraction form
    780.93/1,171.80 = 456.93/x
  3. Step 3: Cross multiply
    780.93x = 1,171.80 × 456.93
  4. Step 4: Simplify right side
    780.93x = 535,430.57
  5. Step 5: Solve for x
    x = 535,430.57/780.93
  6. Step 6: Final answer
    x = 685.63

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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.