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Finding the Fourth Proportional to 735.90, 1,014.45 and 539.10

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Solution

The fourth proportional to 735.90, 1,014.45 and 539.10 is: 743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.90 : 1,014.45 = 539.10 : x
  2. Step 2: Convert to fraction form
    735.90/1,014.45 = 539.10/x
  3. Step 3: Cross multiply
    735.90x = 1,014.45 × 539.10
  4. Step 4: Simplify right side
    735.90x = 546,890.00
  5. Step 5: Solve for x
    x = 546,890.00/735.90
  6. Step 6: Final answer
    x = 743.16

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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.