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Finding the Fourth Proportional to 631.92, 947.64 and 307.08

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Solution

The fourth proportional to 631.92, 947.64 and 307.08 is: 460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.92 : 947.64 = 307.08 : x
  2. Step 2: Convert to fraction form
    631.92/947.64 = 307.08/x
  3. Step 3: Cross multiply
    631.92x = 947.64 × 307.08
  4. Step 4: Simplify right side
    631.92x = 291,001.29
  5. Step 5: Solve for x
    x = 291,001.29/631.92
  6. Step 6: Final answer
    x = 460.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.