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Finding the Fourth Proportional to 1,243.94, 1,715.30 and 824.15

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Solution

The fourth proportional to 1,243.94, 1,715.30 and 824.15 is: 1,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.94 : 1,715.30 = 824.15 : x
  2. Step 2: Convert to fraction form
    1,243.94/1,715.30 = 824.15/x
  3. Step 3: Cross multiply
    1,243.94x = 1,715.30 × 824.15
  4. Step 4: Simplify right side
    1,243.94x = 1,413,664.66
  5. Step 5: Solve for x
    x = 1,413,664.66/1,243.94
  6. Step 6: Final answer
    x = 1,136.45

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1.5x scale

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.