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Finding the Fourth Proportional to 1,048.46, 1,447.01 and 716.76

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Solution

The fourth proportional to 1,048.46, 1,447.01 and 716.76 is: 989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.46 : 1,447.01 = 716.76 : x
  2. Step 2: Convert to fraction form
    1,048.46/1,447.01 = 716.76/x
  3. Step 3: Cross multiply
    1,048.46x = 1,447.01 × 716.76
  4. Step 4: Simplify right side
    1,048.46x = 1,037,155.30
  5. Step 5: Solve for x
    x = 1,037,155.30/1,048.46
  6. Step 6: Final answer
    x = 989.22

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.