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Finding the Fourth Proportional to 735.81, 1,098.45 and 710.19

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Solution

The fourth proportional to 735.81, 1,098.45 and 710.19 is: 1,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.81 : 1,098.45 = 710.19 : x
  2. Step 2: Convert to fraction form
    735.81/1,098.45 = 710.19/x
  3. Step 3: Cross multiply
    735.81x = 1,098.45 × 710.19
  4. Step 4: Simplify right side
    735.81x = 780,108.21
  5. Step 5: Solve for x
    x = 780,108.21/735.81
  6. Step 6: Final answer
    x = 1,060.20

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1.5x scale

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.