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Finding the Fourth Proportional to 650.16, 975.24 and 325.08

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Solution

The fourth proportional to 650.16, 975.24 and 325.08 is: 487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 975.24 = 325.08 : x
  2. Step 2: Convert to fraction form
    650.16/975.24 = 325.08/x
  3. Step 3: Cross multiply
    650.16x = 975.24 × 325.08
  4. Step 4: Simplify right side
    650.16x = 317,031.02
  5. Step 5: Solve for x
    x = 317,031.02/650.16
  6. Step 6: Final answer
    x = 487.62

Related Problems

Find fourth proportional to 325.08, 487.62 and 162.54
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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.