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Finding the Fourth Proportional to 561.71, 775.16 and 313.02

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Solution

The fourth proportional to 561.71, 775.16 and 313.02 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.71 : 775.16 = 313.02 : x
  2. Step 2: Convert to fraction form
    561.71/775.16 = 313.02/x
  3. Step 3: Cross multiply
    561.71x = 775.16 × 313.02
  4. Step 4: Simplify right side
    561.71x = 242,640.58
  5. Step 5: Solve for x
    x = 242,640.58/561.71
  6. Step 6: Final answer
    x = 431.97

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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.