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Finding the Fourth Proportional to 1,132, 1,561.74 and 711.64

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Solution

The fourth proportional to 1,132, 1,561.74 and 711.64 is: 981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132 : 1,561.74 = 711.64 : x
  2. Step 2: Convert to fraction form
    1,132/1,561.74 = 711.64/x
  3. Step 3: Cross multiply
    1,132x = 1,561.74 × 711.64
  4. Step 4: Simplify right side
    1,132x = 1,111,396.65
  5. Step 5: Solve for x
    x = 1,111,396.65/1,132
  6. Step 6: Final answer
    x = 981.80

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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.