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Finding the Fourth Proportional to 649.33, 973.28 and 259.24

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Solution

The fourth proportional to 649.33, 973.28 and 259.24 is: 388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.33 : 973.28 = 259.24 : x
  2. Step 2: Convert to fraction form
    649.33/973.28 = 259.24/x
  3. Step 3: Cross multiply
    649.33x = 973.28 × 259.24
  4. Step 4: Simplify right side
    649.33x = 252,307.95
  5. Step 5: Solve for x
    x = 252,307.95/649.33
  6. Step 6: Final answer
    x = 388.56

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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.