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Finding the Fourth Proportional to 561.64, 775.01 and 414.35

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Solution

The fourth proportional to 561.64, 775.01 and 414.35 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.64 : 775.01 = 414.35 : x
  2. Step 2: Convert to fraction form
    561.64/775.01 = 414.35/x
  3. Step 3: Cross multiply
    561.64x = 775.01 × 414.35
  4. Step 4: Simplify right side
    561.64x = 321,123.32
  5. Step 5: Solve for x
    x = 321,123.32/561.64
  6. Step 6: Final answer
    x = 571.77

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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.