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Finding the Fourth Proportional to 1,312.81, 1,969.29 and 532.69

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Solution

The fourth proportional to 1,312.81, 1,969.29 and 532.69 is: 799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.81 : 1,969.29 = 532.69 : x
  2. Step 2: Convert to fraction form
    1,312.81/1,969.29 = 532.69/x
  3. Step 3: Cross multiply
    1,312.81x = 1,969.29 × 532.69
  4. Step 4: Simplify right side
    1,312.81x = 1,049,021.09
  5. Step 5: Solve for x
    x = 1,049,021.09/1,312.81
  6. Step 6: Final answer
    x = 799.07

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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.