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Finding the Fourth Proportional to 536.68, 740.58 and 420.52

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Solution

The fourth proportional to 536.68, 740.58 and 420.52 is: 580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 740.58 = 420.52 : x
  2. Step 2: Convert to fraction form
    536.68/740.58 = 420.52/x
  3. Step 3: Cross multiply
    536.68x = 740.58 × 420.52
  4. Step 4: Simplify right side
    536.68x = 311,428.70
  5. Step 5: Solve for x
    x = 311,428.70/536.68
  6. Step 6: Final answer
    x = 580.29

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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.