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Finding the Fourth Proportional to 631.26, 947.12 and 284.49

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Solution

The fourth proportional to 631.26, 947.12 and 284.49 is: 426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.26 : 947.12 = 284.49 : x
  2. Step 2: Convert to fraction form
    631.26/947.12 = 284.49/x
  3. Step 3: Cross multiply
    631.26x = 947.12 × 284.49
  4. Step 4: Simplify right side
    631.26x = 269,444.51
  5. Step 5: Solve for x
    x = 269,444.51/631.26
  6. Step 6: Final answer
    x = 426.84

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Half scale
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Double scale
Find fourth proportional to 632.26, 948.62 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.