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Finding the Fourth Proportional to 735.91, 1,015.01 and 473.47

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Solution

The fourth proportional to 735.91, 1,015.01 and 473.47 is: 653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.91 : 1,015.01 = 473.47 : x
  2. Step 2: Convert to fraction form
    735.91/1,015.01 = 473.47/x
  3. Step 3: Cross multiply
    735.91x = 1,015.01 × 473.47
  4. Step 4: Simplify right side
    735.91x = 480,571.88
  5. Step 5: Solve for x
    x = 480,571.88/735.91
  6. Step 6: Final answer
    x = 653.03

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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.