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Finding the Fourth Proportional to 735.92, 1,015.53 and 421.19

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Solution

The fourth proportional to 735.92, 1,015.53 and 421.19 is: 581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.92 : 1,015.53 = 421.19 : x
  2. Step 2: Convert to fraction form
    735.92/1,015.53 = 421.19/x
  3. Step 3: Cross multiply
    735.92x = 1,015.53 × 421.19
  4. Step 4: Simplify right side
    735.92x = 427,731.08
  5. Step 5: Solve for x
    x = 427,731.08/735.92
  6. Step 6: Final answer
    x = 581.22

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Half scale
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Double scale
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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.