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Finding the Fourth Proportional to 1,065.64, 1,598.96 and 449.52

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Solution

The fourth proportional to 1,065.64, 1,598.96 and 449.52 is: 674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.64 : 1,598.96 = 449.52 : x
  2. Step 2: Convert to fraction form
    1,065.64/1,598.96 = 449.52/x
  3. Step 3: Cross multiply
    1,065.64x = 1,598.96 × 449.52
  4. Step 4: Simplify right side
    1,065.64x = 718,764.50
  5. Step 5: Solve for x
    x = 718,764.50/1,065.64
  6. Step 6: Final answer
    x = 674.49

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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.