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Finding the Fourth Proportional to 1,133, 1,563.12 and 712.64

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Solution

The fourth proportional to 1,133, 1,563.12 and 712.64 is: 983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133 : 1,563.12 = 712.64 : x
  2. Step 2: Convert to fraction form
    1,133/1,563.12 = 712.64/x
  3. Step 3: Cross multiply
    1,133x = 1,563.12 × 712.64
  4. Step 4: Simplify right side
    1,133x = 1,113,941.84
  5. Step 5: Solve for x
    x = 1,113,941.84/1,133
  6. Step 6: Final answer
    x = 983.18

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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.