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Finding the Fourth Proportional to 917.76, 1,266.48 and 544.78

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Solution

The fourth proportional to 917.76, 1,266.48 and 544.78 is: 751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.76 : 1,266.48 = 544.78 : x
  2. Step 2: Convert to fraction form
    917.76/1,266.48 = 544.78/x
  3. Step 3: Cross multiply
    917.76x = 1,266.48 × 544.78
  4. Step 4: Simplify right side
    917.76x = 689,949.81
  5. Step 5: Solve for x
    x = 689,949.81/917.76
  6. Step 6: Final answer
    x = 751.78

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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.