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Finding the Fourth Proportional to 734.86, 1,015.00 and 535.37

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Solution

The fourth proportional to 734.86, 1,015.00 and 535.37 is: 739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.86 : 1,015.00 = 535.37 : x
  2. Step 2: Convert to fraction form
    734.86/1,015.00 = 535.37/x
  3. Step 3: Cross multiply
    734.86x = 1,015.00 × 535.37
  4. Step 4: Simplify right side
    734.86x = 543,397.87
  5. Step 5: Solve for x
    x = 543,397.87/734.86
  6. Step 6: Final answer
    x = 739.46

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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.