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Finding the Fourth Proportional to 1,197, 1,652.10 and 783.72

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Solution

The fourth proportional to 1,197, 1,652.10 and 783.72 is: 1,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197 : 1,652.10 = 783.72 : x
  2. Step 2: Convert to fraction form
    1,197/1,652.10 = 783.72/x
  3. Step 3: Cross multiply
    1,197x = 1,652.10 × 783.72
  4. Step 4: Simplify right side
    1,197x = 1,294,783.81
  5. Step 5: Solve for x
    x = 1,294,783.81/1,197
  6. Step 6: Final answer
    x = 1,081.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.