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Finding the Fourth Proportional to 523.10, 787.26 and 393.77

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Solution

The fourth proportional to 523.10, 787.26 and 393.77 is: 592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.10 : 787.26 = 393.77 : x
  2. Step 2: Convert to fraction form
    523.10/787.26 = 393.77/x
  3. Step 3: Cross multiply
    523.10x = 787.26 × 393.77
  4. Step 4: Simplify right side
    523.10x = 309,995.43
  5. Step 5: Solve for x
    x = 309,995.43/523.10
  6. Step 6: Final answer
    x = 592.62

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.