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Finding the Fourth Proportional to 909.45, 1,255.10 and 511.12

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Solution

The fourth proportional to 909.45, 1,255.10 and 511.12 is: 705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.45 : 1,255.10 = 511.12 : x
  2. Step 2: Convert to fraction form
    909.45/1,255.10 = 511.12/x
  3. Step 3: Cross multiply
    909.45x = 1,255.10 × 511.12
  4. Step 4: Simplify right side
    909.45x = 641,505.73
  5. Step 5: Solve for x
    x = 641,505.73/909.45
  6. Step 6: Final answer
    x = 705.38

Related Problems

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Half scale
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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.