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Finding the Fourth Proportional to 1,141.65, 1,711.77 and 524.57

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Solution

The fourth proportional to 1,141.65, 1,711.77 and 524.57 is: 786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.65 : 1,711.77 = 524.57 : x
  2. Step 2: Convert to fraction form
    1,141.65/1,711.77 = 524.57/x
  3. Step 3: Cross multiply
    1,141.65x = 1,711.77 × 524.57
  4. Step 4: Simplify right side
    1,141.65x = 897,943.19
  5. Step 5: Solve for x
    x = 897,943.19/1,141.65
  6. Step 6: Final answer
    x = 786.53

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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.