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Finding the Fourth Proportional to 537.20, 741.12 and 412.64

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Solution

The fourth proportional to 537.20, 741.12 and 412.64 is: 569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.20 : 741.12 = 412.64 : x
  2. Step 2: Convert to fraction form
    537.20/741.12 = 412.64/x
  3. Step 3: Cross multiply
    537.20x = 741.12 × 412.64
  4. Step 4: Simplify right side
    537.20x = 305,815.76
  5. Step 5: Solve for x
    x = 305,815.76/537.20
  6. Step 6: Final answer
    x = 569.28

Related Problems

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Double scale
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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.