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Finding the Fourth Proportional to 748.67, 1,033.16 and 412.57

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Solution

The fourth proportional to 748.67, 1,033.16 and 412.57 is: 569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.67 : 1,033.16 = 412.57 : x
  2. Step 2: Convert to fraction form
    748.67/1,033.16 = 412.57/x
  3. Step 3: Cross multiply
    748.67x = 1,033.16 × 412.57
  4. Step 4: Simplify right side
    748.67x = 426,250.82
  5. Step 5: Solve for x
    x = 426,250.82/748.67
  6. Step 6: Final answer
    x = 569.34

Related Problems

Find fourth proportional to 374.34, 516.58 and 206.29
Half scale
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Double scale
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Similar ratio
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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.