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Finding the Fourth Proportional to 561.20, 772.20 and 506

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Solution

The fourth proportional to 561.20, 772.20 and 506 is: 696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.20 : 772.20 = 506 : x
  2. Step 2: Convert to fraction form
    561.20/772.20 = 506/x
  3. Step 3: Cross multiply
    561.20x = 772.20 × 506
  4. Step 4: Simplify right side
    561.20x = 390,733.20
  5. Step 5: Solve for x
    x = 390,733.20/561.20
  6. Step 6: Final answer
    x = 696.25

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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.