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Finding the Fourth Proportional to 561.65, 774.41 and 456.39

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Solution

The fourth proportional to 561.65, 774.41 and 456.39 is: 629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.65 : 774.41 = 456.39 : x
  2. Step 2: Convert to fraction form
    561.65/774.41 = 456.39/x
  3. Step 3: Cross multiply
    561.65x = 774.41 × 456.39
  4. Step 4: Simplify right side
    561.65x = 353,430.70
  5. Step 5: Solve for x
    x = 353,430.70/561.65
  6. Step 6: Final answer
    x = 629.28

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1.5x scale

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.