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Finding the Fourth Proportional to 803.56, 1,203.06 and 650.08

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Solution

The fourth proportional to 803.56, 1,203.06 and 650.08 is: 973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.56 : 1,203.06 = 650.08 : x
  2. Step 2: Convert to fraction form
    803.56/1,203.06 = 650.08/x
  3. Step 3: Cross multiply
    803.56x = 1,203.06 × 650.08
  4. Step 4: Simplify right side
    803.56x = 782,085.24
  5. Step 5: Solve for x
    x = 782,085.24/803.56
  6. Step 6: Final answer
    x = 973.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.