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Finding the Fourth Proportional to 948.50, 1,311.36 and 907.70

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Solution

The fourth proportional to 948.50, 1,311.36 and 907.70 is: 1,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.50 : 1,311.36 = 907.70 : x
  2. Step 2: Convert to fraction form
    948.50/1,311.36 = 907.70/x
  3. Step 3: Cross multiply
    948.50x = 1,311.36 × 907.70
  4. Step 4: Simplify right side
    948.50x = 1,190,321.47
  5. Step 5: Solve for x
    x = 1,190,321.47/948.50
  6. Step 6: Final answer
    x = 1,254.95

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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.