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Finding the Fourth Proportional to 916.94, 1,265.27 and 543.84

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Solution

The fourth proportional to 916.94, 1,265.27 and 543.84 is: 750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.94 : 1,265.27 = 543.84 : x
  2. Step 2: Convert to fraction form
    916.94/1,265.27 = 543.84/x
  3. Step 3: Cross multiply
    916.94x = 1,265.27 × 543.84
  4. Step 4: Simplify right side
    916.94x = 688,104.44
  5. Step 5: Solve for x
    x = 688,104.44/916.94
  6. Step 6: Final answer
    x = 750.44

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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.