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Finding the Fourth Proportional to 780.03, 1,167.21 and 472.10

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Solution

The fourth proportional to 780.03, 1,167.21 and 472.10 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.03 : 1,167.21 = 472.10 : x
  2. Step 2: Convert to fraction form
    780.03/1,167.21 = 472.10/x
  3. Step 3: Cross multiply
    780.03x = 1,167.21 × 472.10
  4. Step 4: Simplify right side
    780.03x = 551,034.00
  5. Step 5: Solve for x
    x = 551,034.00/780.03
  6. Step 6: Final answer
    x = 706.43

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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.