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Finding the Fourth Proportional to 997.07, 1,496.56 and 477.36

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Solution

The fourth proportional to 997.07, 1,496.56 and 477.36 is: 716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.07 : 1,496.56 = 477.36 : x
  2. Step 2: Convert to fraction form
    997.07/1,496.56 = 477.36/x
  3. Step 3: Cross multiply
    997.07x = 1,496.56 × 477.36
  4. Step 4: Simplify right side
    997.07x = 714,397.88
  5. Step 5: Solve for x
    x = 714,397.88/997.07
  6. Step 6: Final answer
    x = 716.50

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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.