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Finding the Fourth Proportional to 561.14, 772.56 and 436.64

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Solution

The fourth proportional to 561.14, 772.56 and 436.64 is: 601.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.14 : 772.56 = 436.64 : x
  2. Step 2: Convert to fraction form
    561.14/772.56 = 436.64/x
  3. Step 3: Cross multiply
    561.14x = 772.56 × 436.64
  4. Step 4: Simplify right side
    561.14x = 337,330.60
  5. Step 5: Solve for x
    x = 337,330.60/561.14
  6. Step 6: Final answer
    x = 601.15

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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.