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Finding the Fourth Proportional to 562.64, 776.38 and 415.35

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Solution

The fourth proportional to 562.64, 776.38 and 415.35 is: 573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.64 : 776.38 = 415.35 : x
  2. Step 2: Convert to fraction form
    562.64/776.38 = 415.35/x
  3. Step 3: Cross multiply
    562.64x = 776.38 × 415.35
  4. Step 4: Simplify right side
    562.64x = 322,469.43
  5. Step 5: Solve for x
    x = 322,469.43/562.64
  6. Step 6: Final answer
    x = 573.14

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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.