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Finding the Fourth Proportional to 735.63, 1,015.59 and 487.29

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Solution

The fourth proportional to 735.63, 1,015.59 and 487.29 is: 672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.63 : 1,015.59 = 487.29 : x
  2. Step 2: Convert to fraction form
    735.63/1,015.59 = 487.29/x
  3. Step 3: Cross multiply
    735.63x = 1,015.59 × 487.29
  4. Step 4: Simplify right side
    735.63x = 494,886.85
  5. Step 5: Solve for x
    x = 494,886.85/735.63
  6. Step 6: Final answer
    x = 672.74

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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.