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Finding the Fourth Proportional to 647.72, 894.44 and 471.69

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Solution

The fourth proportional to 647.72, 894.44 and 471.69 is: 651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.72 : 894.44 = 471.69 : x
  2. Step 2: Convert to fraction form
    647.72/894.44 = 471.69/x
  3. Step 3: Cross multiply
    647.72x = 894.44 × 471.69
  4. Step 4: Simplify right side
    647.72x = 421,896.05
  5. Step 5: Solve for x
    x = 421,896.05/647.72
  6. Step 6: Final answer
    x = 651.36

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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.