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Finding the Fourth Proportional to 816.40, 1,126.61 and 467.06

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Solution

The fourth proportional to 816.40, 1,126.61 and 467.06 is: 644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.40 : 1,126.61 = 467.06 : x
  2. Step 2: Convert to fraction form
    816.40/1,126.61 = 467.06/x
  3. Step 3: Cross multiply
    816.40x = 1,126.61 × 467.06
  4. Step 4: Simplify right side
    816.40x = 526,194.95
  5. Step 5: Solve for x
    x = 526,194.95/816.40
  6. Step 6: Final answer
    x = 644.53

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1.5x scale

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.