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Finding the Fourth Proportional to 740.56, 1,022.12 and 475.24

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Solution

The fourth proportional to 740.56, 1,022.12 and 475.24 is: 655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.56 : 1,022.12 = 475.24 : x
  2. Step 2: Convert to fraction form
    740.56/1,022.12 = 475.24/x
  3. Step 3: Cross multiply
    740.56x = 1,022.12 × 475.24
  4. Step 4: Simplify right side
    740.56x = 485,752.31
  5. Step 5: Solve for x
    x = 485,752.31/740.56
  6. Step 6: Final answer
    x = 655.93

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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.