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Finding the Fourth Proportional to 803.18, 1,109.00 and 710.03

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Solution

The fourth proportional to 803.18, 1,109.00 and 710.03 is: 980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.18 : 1,109.00 = 710.03 : x
  2. Step 2: Convert to fraction form
    803.18/1,109.00 = 710.03/x
  3. Step 3: Cross multiply
    803.18x = 1,109.00 × 710.03
  4. Step 4: Simplify right side
    803.18x = 787,422.49
  5. Step 5: Solve for x
    x = 787,422.49/803.18
  6. Step 6: Final answer
    x = 980.38

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1.5x scale

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.