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Finding the Fourth Proportional to 536.76, 740.26 and 412.12

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Solution

The fourth proportional to 536.76, 740.26 and 412.12 is: 568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 740.26 = 412.12 : x
  2. Step 2: Convert to fraction form
    536.76/740.26 = 412.12/x
  3. Step 3: Cross multiply
    536.76x = 740.26 × 412.12
  4. Step 4: Simplify right side
    536.76x = 305,075.95
  5. Step 5: Solve for x
    x = 305,075.95/536.76
  6. Step 6: Final answer
    x = 568.37

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Find fourth proportional to 268.38, 370.13 and 206.06
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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.