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Finding the Fourth Proportional to 735.08, 1,014.02 and 440.16

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Solution

The fourth proportional to 735.08, 1,014.02 and 440.16 is: 607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.08 : 1,014.02 = 440.16 : x
  2. Step 2: Convert to fraction form
    735.08/1,014.02 = 440.16/x
  3. Step 3: Cross multiply
    735.08x = 1,014.02 × 440.16
  4. Step 4: Simplify right side
    735.08x = 446,331.04
  5. Step 5: Solve for x
    x = 446,331.04/735.08
  6. Step 6: Final answer
    x = 607.19

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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.