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Finding the Fourth Proportional to 735.32, 1,100.10 and 530.28

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Solution

The fourth proportional to 735.32, 1,100.10 and 530.28 is: 793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.32 : 1,100.10 = 530.28 : x
  2. Step 2: Convert to fraction form
    735.32/1,100.10 = 530.28/x
  3. Step 3: Cross multiply
    735.32x = 1,100.10 × 530.28
  4. Step 4: Simplify right side
    735.32x = 583,361.03
  5. Step 5: Solve for x
    x = 583,361.03/735.32
  6. Step 6: Final answer
    x = 793.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.