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Finding the Fourth Proportional to 536.28, 740.97 and 426.57

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Solution

The fourth proportional to 536.28, 740.97 and 426.57 is: 589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.28 : 740.97 = 426.57 : x
  2. Step 2: Convert to fraction form
    536.28/740.97 = 426.57/x
  3. Step 3: Cross multiply
    536.28x = 740.97 × 426.57
  4. Step 4: Simplify right side
    536.28x = 316,075.57
  5. Step 5: Solve for x
    x = 316,075.57/536.28
  6. Step 6: Final answer
    x = 589.39

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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.