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Finding the Fourth Proportional to 410.64, 612.69 and 381.60

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Solution

The fourth proportional to 410.64, 612.69 and 381.60 is: 569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 612.69 = 381.60 : x
  2. Step 2: Convert to fraction form
    410.64/612.69 = 381.60/x
  3. Step 3: Cross multiply
    410.64x = 612.69 × 381.60
  4. Step 4: Simplify right side
    410.64x = 233,802.50
  5. Step 5: Solve for x
    x = 233,802.50/410.64
  6. Step 6: Final answer
    x = 569.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.