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Finding the Fourth Proportional to 783.11, 1,172.32 and 474.02

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Solution

The fourth proportional to 783.11, 1,172.32 and 474.02 is: 709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,172.32 = 474.02 : x
  2. Step 2: Convert to fraction form
    783.11/1,172.32 = 474.02/x
  3. Step 3: Cross multiply
    783.11x = 1,172.32 × 474.02
  4. Step 4: Simplify right side
    783.11x = 555,696.08
  5. Step 5: Solve for x
    x = 555,696.08/783.11
  6. Step 6: Final answer
    x = 709.60

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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.