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Finding the Fourth Proportional to 536.93, 740.80 and 412.37

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Solution

The fourth proportional to 536.93, 740.80 and 412.37 is: 568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.93 : 740.80 = 412.37 : x
  2. Step 2: Convert to fraction form
    536.93/740.80 = 412.37/x
  3. Step 3: Cross multiply
    536.93x = 740.80 × 412.37
  4. Step 4: Simplify right side
    536.93x = 305,484.49
  5. Step 5: Solve for x
    x = 305,484.49/536.93
  6. Step 6: Final answer
    x = 568.95

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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.