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Finding the Fourth Proportional to 1,106.48, 1,527.06 and 687.10

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Solution

The fourth proportional to 1,106.48, 1,527.06 and 687.10 is: 948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.48 : 1,527.06 = 687.10 : x
  2. Step 2: Convert to fraction form
    1,106.48/1,527.06 = 687.10/x
  3. Step 3: Cross multiply
    1,106.48x = 1,527.06 × 687.10
  4. Step 4: Simplify right side
    1,106.48x = 1,049,242.93
  5. Step 5: Solve for x
    x = 1,049,242.93/1,106.48
  6. Step 6: Final answer
    x = 948.27

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