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Finding the Fourth Proportional to 803.18, 1,106.90 and 655.34

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Solution

The fourth proportional to 803.18, 1,106.90 and 655.34 is: 903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.18 : 1,106.90 = 655.34 : x
  2. Step 2: Convert to fraction form
    803.18/1,106.90 = 655.34/x
  3. Step 3: Cross multiply
    803.18x = 1,106.90 × 655.34
  4. Step 4: Simplify right side
    803.18x = 725,395.85
  5. Step 5: Solve for x
    x = 725,395.85/803.18
  6. Step 6: Final answer
    x = 903.15

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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.