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Finding the Fourth Proportional to 1,039.63, 1,551.84 and 916.61

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Solution

The fourth proportional to 1,039.63, 1,551.84 and 916.61 is: 1,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.63 : 1,551.84 = 916.61 : x
  2. Step 2: Convert to fraction form
    1,039.63/1,551.84 = 916.61/x
  3. Step 3: Cross multiply
    1,039.63x = 1,551.84 × 916.61
  4. Step 4: Simplify right side
    1,039.63x = 1,422,432.06
  5. Step 5: Solve for x
    x = 1,422,432.06/1,039.63
  6. Step 6: Final answer
    x = 1,368.21

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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.