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Finding the Fourth Proportional to 523.55, 783.30 and 341.30

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Solution

The fourth proportional to 523.55, 783.30 and 341.30 is: 510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.55 : 783.30 = 341.30 : x
  2. Step 2: Convert to fraction form
    523.55/783.30 = 341.30/x
  3. Step 3: Cross multiply
    523.55x = 783.30 × 341.30
  4. Step 4: Simplify right side
    523.55x = 267,340.29
  5. Step 5: Solve for x
    x = 267,340.29/523.55
  6. Step 6: Final answer
    x = 510.63

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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.