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Finding the Fourth Proportional to 561.56, 775.71 and 509.16

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Solution

The fourth proportional to 561.56, 775.71 and 509.16 is: 703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.56 : 775.71 = 509.16 : x
  2. Step 2: Convert to fraction form
    561.56/775.71 = 509.16/x
  3. Step 3: Cross multiply
    561.56x = 775.71 × 509.16
  4. Step 4: Simplify right side
    561.56x = 394,963.41
  5. Step 5: Solve for x
    x = 394,963.41/561.56
  6. Step 6: Final answer
    x = 703.33

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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.