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Finding the Fourth Proportional to 735.88, 1,015.59 and 473.86

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Solution

The fourth proportional to 735.88, 1,015.59 and 473.86 is: 653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.88 : 1,015.59 = 473.86 : x
  2. Step 2: Convert to fraction form
    735.88/1,015.59 = 473.86/x
  3. Step 3: Cross multiply
    735.88x = 1,015.59 × 473.86
  4. Step 4: Simplify right side
    735.88x = 481,247.48
  5. Step 5: Solve for x
    x = 481,247.48/735.88
  6. Step 6: Final answer
    x = 653.98

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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.