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Finding the Fourth Proportional to 561.89, 775.40 and 313.20

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Solution

The fourth proportional to 561.89, 775.40 and 313.20 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.89 : 775.40 = 313.20 : x
  2. Step 2: Convert to fraction form
    561.89/775.40 = 313.20/x
  3. Step 3: Cross multiply
    561.89x = 775.40 × 313.20
  4. Step 4: Simplify right side
    561.89x = 242,853.71
  5. Step 5: Solve for x
    x = 242,853.71/561.89
  6. Step 6: Final answer
    x = 432.21

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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.