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Finding the Fourth Proportional to 917.49, 1,267.95 and 751.44

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Solution

The fourth proportional to 917.49, 1,267.95 and 751.44 is: 1,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.49 : 1,267.95 = 751.44 : x
  2. Step 2: Convert to fraction form
    917.49/1,267.95 = 751.44/x
  3. Step 3: Cross multiply
    917.49x = 1,267.95 × 751.44
  4. Step 4: Simplify right side
    917.49x = 952,782.01
  5. Step 5: Solve for x
    x = 952,782.01/917.49
  6. Step 6: Final answer
    x = 1,038.47

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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.