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Finding the Fourth Proportional to 735.41, 1,098.80 and 709.90

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Solution

The fourth proportional to 735.41, 1,098.80 and 709.90 is: 1,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.41 : 1,098.80 = 709.90 : x
  2. Step 2: Convert to fraction form
    735.41/1,098.80 = 709.90/x
  3. Step 3: Cross multiply
    735.41x = 1,098.80 × 709.90
  4. Step 4: Simplify right side
    735.41x = 780,038.12
  5. Step 5: Solve for x
    x = 780,038.12/735.41
  6. Step 6: Final answer
    x = 1,060.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.