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Finding the Fourth Proportional to 734.63, 1,014.21 and 486.36

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Solution

The fourth proportional to 734.63, 1,014.21 and 486.36 is: 671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.63 : 1,014.21 = 486.36 : x
  2. Step 2: Convert to fraction form
    734.63/1,014.21 = 486.36/x
  3. Step 3: Cross multiply
    734.63x = 1,014.21 × 486.36
  4. Step 4: Simplify right side
    734.63x = 493,271.18
  5. Step 5: Solve for x
    x = 493,271.18/734.63
  6. Step 6: Final answer
    x = 671.46

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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.