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Finding the Fourth Proportional to 561.52, 774 and 374.64

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Solution

The fourth proportional to 561.52, 774 and 374.64 is: 516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.52 : 774 = 374.64 : x
  2. Step 2: Convert to fraction form
    561.52/774 = 374.64/x
  3. Step 3: Cross multiply
    561.52x = 774 × 374.64
  4. Step 4: Simplify right side
    561.52x = 289,971.36
  5. Step 5: Solve for x
    x = 289,971.36/561.52
  6. Step 6: Final answer
    x = 516.40

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Double scale
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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.