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Finding the Fourth Proportional to 783.24, 1,172.51 and 474.15

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Solution

The fourth proportional to 783.24, 1,172.51 and 474.15 is: 709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.24 : 1,172.51 = 474.15 : x
  2. Step 2: Convert to fraction form
    783.24/1,172.51 = 474.15/x
  3. Step 3: Cross multiply
    783.24x = 1,172.51 × 474.15
  4. Step 4: Simplify right side
    783.24x = 555,945.62
  5. Step 5: Solve for x
    x = 555,945.62/783.24
  6. Step 6: Final answer
    x = 709.80

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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.