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Finding the Fourth Proportional to 755.23, 1,042.21 and 440.68

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Solution

The fourth proportional to 755.23, 1,042.21 and 440.68 is: 608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.23 : 1,042.21 = 440.68 : x
  2. Step 2: Convert to fraction form
    755.23/1,042.21 = 440.68/x
  3. Step 3: Cross multiply
    755.23x = 1,042.21 × 440.68
  4. Step 4: Simplify right side
    755.23x = 459,281.10
  5. Step 5: Solve for x
    x = 459,281.10/755.23
  6. Step 6: Final answer
    x = 608.13

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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.