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Finding the Fourth Proportional to 649.74, 973.46 and 325.28

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Solution

The fourth proportional to 649.74, 973.46 and 325.28 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.74 : 973.46 = 325.28 : x
  2. Step 2: Convert to fraction form
    649.74/973.46 = 325.28/x
  3. Step 3: Cross multiply
    649.74x = 973.46 × 325.28
  4. Step 4: Simplify right side
    649.74x = 316,647.07
  5. Step 5: Solve for x
    x = 316,647.07/649.74
  6. Step 6: Final answer
    x = 487.34

Related Problems

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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.