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Finding the Fourth Proportional to 1,315.43, 1,814.57 and 916.46

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Solution

The fourth proportional to 1,315.43, 1,814.57 and 916.46 is: 1,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.43 : 1,814.57 = 916.46 : x
  2. Step 2: Convert to fraction form
    1,315.43/1,814.57 = 916.46/x
  3. Step 3: Cross multiply
    1,315.43x = 1,814.57 × 916.46
  4. Step 4: Simplify right side
    1,315.43x = 1,662,987.65
  5. Step 5: Solve for x
    x = 1,662,987.65/1,315.43
  6. Step 6: Final answer
    x = 1,264.21

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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.