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Finding the Fourth Proportional to 561.64, 775.12 and 313.04

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Solution

The fourth proportional to 561.64, 775.12 and 313.04 is: 432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.64 : 775.12 = 313.04 : x
  2. Step 2: Convert to fraction form
    561.64/775.12 = 313.04/x
  3. Step 3: Cross multiply
    561.64x = 775.12 × 313.04
  4. Step 4: Simplify right side
    561.64x = 242,643.56
  5. Step 5: Solve for x
    x = 242,643.56/561.64
  6. Step 6: Final answer
    x = 432.03

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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.