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Finding the Fourth Proportional to 645.34, 890.77 and 412.46

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Solution

The fourth proportional to 645.34, 890.77 and 412.46 is: 569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.34 : 890.77 = 412.46 : x
  2. Step 2: Convert to fraction form
    645.34/890.77 = 412.46/x
  3. Step 3: Cross multiply
    645.34x = 890.77 × 412.46
  4. Step 4: Simplify right side
    645.34x = 367,404.93
  5. Step 5: Solve for x
    x = 367,404.93/645.34
  6. Step 6: Final answer
    x = 569.32

Related Problems

Find fourth proportional to 322.67, 445.38 and 206.23
Half scale
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Double scale
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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.