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Finding the Fourth Proportional to 506.36, 758.10 and 429.32

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Solution

The fourth proportional to 506.36, 758.10 and 429.32 is: 642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.36 : 758.10 = 429.32 : x
  2. Step 2: Convert to fraction form
    506.36/758.10 = 429.32/x
  3. Step 3: Cross multiply
    506.36x = 758.10 × 429.32
  4. Step 4: Simplify right side
    506.36x = 325,467.49
  5. Step 5: Solve for x
    x = 325,467.49/506.36
  6. Step 6: Final answer
    x = 642.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.