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Finding the Fourth Proportional to 734.56, 1,014.17 and 486.29

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Solution

The fourth proportional to 734.56, 1,014.17 and 486.29 is: 671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.56 : 1,014.17 = 486.29 : x
  2. Step 2: Convert to fraction form
    734.56/1,014.17 = 486.29/x
  3. Step 3: Cross multiply
    734.56x = 1,014.17 × 486.29
  4. Step 4: Simplify right side
    734.56x = 493,178.30
  5. Step 5: Solve for x
    x = 493,178.30/734.56
  6. Step 6: Final answer
    x = 671.40

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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.