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Finding the Fourth Proportional to 917.76, 1,266.66 and 751.65

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Solution

The fourth proportional to 917.76, 1,266.66 and 751.65 is: 1,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.76 : 1,266.66 = 751.65 : x
  2. Step 2: Convert to fraction form
    917.76/1,266.66 = 751.65/x
  3. Step 3: Cross multiply
    917.76x = 1,266.66 × 751.65
  4. Step 4: Simplify right side
    917.76x = 952,084.99
  5. Step 5: Solve for x
    x = 952,084.99/917.76
  6. Step 6: Final answer
    x = 1,037.40

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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.