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Finding the Fourth Proportional to 895.45, 1,342.27 and 347.42

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Solution

The fourth proportional to 895.45, 1,342.27 and 347.42 is: 520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.45 : 1,342.27 = 347.42 : x
  2. Step 2: Convert to fraction form
    895.45/1,342.27 = 347.42/x
  3. Step 3: Cross multiply
    895.45x = 1,342.27 × 347.42
  4. Step 4: Simplify right side
    895.45x = 466,331.44
  5. Step 5: Solve for x
    x = 466,331.44/895.45
  6. Step 6: Final answer
    x = 520.78

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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.