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Finding the Fourth Proportional to 740.75, 1,022.20 and 409.16

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Solution

The fourth proportional to 740.75, 1,022.20 and 409.16 is: 564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.75 : 1,022.20 = 409.16 : x
  2. Step 2: Convert to fraction form
    740.75/1,022.20 = 409.16/x
  3. Step 3: Cross multiply
    740.75x = 1,022.20 × 409.16
  4. Step 4: Simplify right side
    740.75x = 418,243.35
  5. Step 5: Solve for x
    x = 418,243.35/740.75
  6. Step 6: Final answer
    x = 564.62

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Find fourth proportional to 370.38, 511.10 and 204.58
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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.