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Finding the Fourth Proportional to 734.82, 1,014.06 and 440.12

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Solution

The fourth proportional to 734.82, 1,014.06 and 440.12 is: 607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.82 : 1,014.06 = 440.12 : x
  2. Step 2: Convert to fraction form
    734.82/1,014.06 = 440.12/x
  3. Step 3: Cross multiply
    734.82x = 1,014.06 × 440.12
  4. Step 4: Simplify right side
    734.82x = 446,303.02
  5. Step 5: Solve for x
    x = 446,303.02/734.82
  6. Step 6: Final answer
    x = 607.36

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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.