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Finding the Fourth Proportional to 735.84, 1,015.38 and 421.14

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Solution

The fourth proportional to 735.84, 1,015.38 and 421.14 is: 581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.84 : 1,015.38 = 421.14 : x
  2. Step 2: Convert to fraction form
    735.84/1,015.38 = 421.14/x
  3. Step 3: Cross multiply
    735.84x = 1,015.38 × 421.14
  4. Step 4: Simplify right side
    735.84x = 427,617.13
  5. Step 5: Solve for x
    x = 427,617.13/735.84
  6. Step 6: Final answer
    x = 581.13

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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.