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Finding the Fourth Proportional to 735.64, 1,014.88 and 487.08

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Solution

The fourth proportional to 735.64, 1,014.88 and 487.08 is: 671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.64 : 1,014.88 = 487.08 : x
  2. Step 2: Convert to fraction form
    735.64/1,014.88 = 487.08/x
  3. Step 3: Cross multiply
    735.64x = 1,014.88 × 487.08
  4. Step 4: Simplify right side
    735.64x = 494,327.75
  5. Step 5: Solve for x
    x = 494,327.75/735.64
  6. Step 6: Final answer
    x = 671.97

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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.