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Finding the Fourth Proportional to 804.56, 1,206.72 and 644.16

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Solution

The fourth proportional to 804.56, 1,206.72 and 644.16 is: 966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.56 : 1,206.72 = 644.16 : x
  2. Step 2: Convert to fraction form
    804.56/1,206.72 = 644.16/x
  3. Step 3: Cross multiply
    804.56x = 1,206.72 × 644.16
  4. Step 4: Simplify right side
    804.56x = 777,320.76
  5. Step 5: Solve for x
    x = 777,320.76/804.56
  6. Step 6: Final answer
    x = 966.14

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1.5x scale

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.