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Finding the Fourth Proportional to 735.40, 1,014.27 and 486.62

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Solution

The fourth proportional to 735.40, 1,014.27 and 486.62 is: 671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.40 : 1,014.27 = 486.62 : x
  2. Step 2: Convert to fraction form
    735.40/1,014.27 = 486.62/x
  3. Step 3: Cross multiply
    735.40x = 1,014.27 × 486.62
  4. Step 4: Simplify right side
    735.40x = 493,569.42
  5. Step 5: Solve for x
    x = 493,569.42/735.40
  6. Step 6: Final answer
    x = 671.16

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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.