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Finding the Fourth Proportional to 649.76, 974.88 and 325.20

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Solution

The fourth proportional to 649.76, 974.88 and 325.20 is: 487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.76 : 974.88 = 325.20 : x
  2. Step 2: Convert to fraction form
    649.76/974.88 = 325.20/x
  3. Step 3: Cross multiply
    649.76x = 974.88 × 325.20
  4. Step 4: Simplify right side
    649.76x = 317,030.98
  5. Step 5: Solve for x
    x = 317,030.98/649.76
  6. Step 6: Final answer
    x = 487.92

Related Problems

Find fourth proportional to 324.88, 487.44 and 162.60
Half scale
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Double scale
Find fourth proportional to 650.76, 976.38 and 326.20
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.