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Finding the Fourth Proportional to 456.25, 684.38 and 433.18

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Solution

The fourth proportional to 456.25, 684.38 and 433.18 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.25 : 684.38 = 433.18 : x
  2. Step 2: Convert to fraction form
    456.25/684.38 = 433.18/x
  3. Step 3: Cross multiply
    456.25x = 684.38 × 433.18
  4. Step 4: Simplify right side
    456.25x = 296,459.73
  5. Step 5: Solve for x
    x = 296,459.73/456.25
  6. Step 6: Final answer
    x = 649.77

Related Problems

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Double scale
Find fourth proportional to 457.25, 685.88 and 434.18
Similar ratio
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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.