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Finding the Fourth Proportional to 740.99, 1,022.78 and 461.08

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Solution

The fourth proportional to 740.99, 1,022.78 and 461.08 is: 636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.99 : 1,022.78 = 461.08 : x
  2. Step 2: Convert to fraction form
    740.99/1,022.78 = 461.08/x
  3. Step 3: Cross multiply
    740.99x = 1,022.78 × 461.08
  4. Step 4: Simplify right side
    740.99x = 471,586.12
  5. Step 5: Solve for x
    x = 471,586.12/740.99
  6. Step 6: Final answer
    x = 636.43

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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.