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Finding the Fourth Proportional to 780.74, 1,172.30 and 473.96

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Solution

The fourth proportional to 780.74, 1,172.30 and 473.96 is: 711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.74 : 1,172.30 = 473.96 : x
  2. Step 2: Convert to fraction form
    780.74/1,172.30 = 473.96/x
  3. Step 3: Cross multiply
    780.74x = 1,172.30 × 473.96
  4. Step 4: Simplify right side
    780.74x = 555,623.31
  5. Step 5: Solve for x
    x = 555,623.31/780.74
  6. Step 6: Final answer
    x = 711.66

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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.