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Finding the Fourth Proportional to 645.41, 890.75 and 471.17

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Solution

The fourth proportional to 645.41, 890.75 and 471.17 is: 650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.41 : 890.75 = 471.17 : x
  2. Step 2: Convert to fraction form
    645.41/890.75 = 471.17/x
  3. Step 3: Cross multiply
    645.41x = 890.75 × 471.17
  4. Step 4: Simplify right side
    645.41x = 419,694.68
  5. Step 5: Solve for x
    x = 419,694.68/645.41
  6. Step 6: Final answer
    x = 650.28

Related Problems

Find fourth proportional to 322.71, 445.38 and 235.59
Half scale
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Double scale
Find fourth proportional to 646.41, 892.13 and 472.17
Similar ratio
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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.