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Finding the Fourth Proportional to 648.20, 972.32 and 282.99

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Solution

The fourth proportional to 648.20, 972.32 and 282.99 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.20 : 972.32 = 282.99 : x
  2. Step 2: Convert to fraction form
    648.20/972.32 = 282.99/x
  3. Step 3: Cross multiply
    648.20x = 972.32 × 282.99
  4. Step 4: Simplify right side
    648.20x = 275,152.22
  5. Step 5: Solve for x
    x = 275,152.22/648.20
  6. Step 6: Final answer
    x = 424.49

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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.