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Finding the Fourth Proportional to 735.93, 1,015.54 and 404.35

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Solution

The fourth proportional to 735.93, 1,015.54 and 404.35 is: 557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.93 : 1,015.54 = 404.35 : x
  2. Step 2: Convert to fraction form
    735.93/1,015.54 = 404.35/x
  3. Step 3: Cross multiply
    735.93x = 1,015.54 × 404.35
  4. Step 4: Simplify right side
    735.93x = 410,630.05
  5. Step 5: Solve for x
    x = 410,630.05/735.93
  6. Step 6: Final answer
    x = 557.97

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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.