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Finding the Fourth Proportional to 1,063.31, 1,584 and 1,031.07

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Solution

The fourth proportional to 1,063.31, 1,584 and 1,031.07 is: 1,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.31 : 1,584 = 1,031.07 : x
  2. Step 2: Convert to fraction form
    1,063.31/1,584 = 1,031.07/x
  3. Step 3: Cross multiply
    1,063.31x = 1,584 × 1,031.07
  4. Step 4: Simplify right side
    1,063.31x = 1,633,214.88
  5. Step 5: Solve for x
    x = 1,633,214.88/1,063.31
  6. Step 6: Final answer
    x = 1,535.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.