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Finding the Fourth Proportional to 917.54, 1,265.77 and 544.26

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Solution

The fourth proportional to 917.54, 1,265.77 and 544.26 is: 750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.54 : 1,265.77 = 544.26 : x
  2. Step 2: Convert to fraction form
    917.54/1,265.77 = 544.26/x
  3. Step 3: Cross multiply
    917.54x = 1,265.77 × 544.26
  4. Step 4: Simplify right side
    917.54x = 688,907.98
  5. Step 5: Solve for x
    x = 688,907.98/917.54
  6. Step 6: Final answer
    x = 750.82

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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.