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Finding the Fourth Proportional to 531.66, 796.44 and 284.49

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Solution

The fourth proportional to 531.66, 796.44 and 284.49 is: 426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.66 : 796.44 = 284.49 : x
  2. Step 2: Convert to fraction form
    531.66/796.44 = 284.49/x
  3. Step 3: Cross multiply
    531.66x = 796.44 × 284.49
  4. Step 4: Simplify right side
    531.66x = 226,579.22
  5. Step 5: Solve for x
    x = 226,579.22/531.66
  6. Step 6: Final answer
    x = 426.17

Related Problems

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Double scale
Find fourth proportional to 532.66, 797.94 and 285.49
Similar ratio
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1.5x scale

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.