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Finding the Fourth Proportional to 561.90, 775.86 and 506.42

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Solution

The fourth proportional to 561.90, 775.86 and 506.42 is: 699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.90 : 775.86 = 506.42 : x
  2. Step 2: Convert to fraction form
    561.90/775.86 = 506.42/x
  3. Step 3: Cross multiply
    561.90x = 775.86 × 506.42
  4. Step 4: Simplify right side
    561.90x = 392,911.02
  5. Step 5: Solve for x
    x = 392,911.02/561.90
  6. Step 6: Final answer
    x = 699.25

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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.