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Finding the Fourth Proportional to 1,335.63, 1,843.03 and 916.34

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Solution

The fourth proportional to 1,335.63, 1,843.03 and 916.34 is: 1,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.63 : 1,843.03 = 916.34 : x
  2. Step 2: Convert to fraction form
    1,335.63/1,843.03 = 916.34/x
  3. Step 3: Cross multiply
    1,335.63x = 1,843.03 × 916.34
  4. Step 4: Simplify right side
    1,335.63x = 1,688,832.90
  5. Step 5: Solve for x
    x = 1,688,832.90/1,335.63
  6. Step 6: Final answer
    x = 1,264.45

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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.