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Finding the Fourth Proportional to 1,033.12, 1,549.64 and 383.68

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Solution

The fourth proportional to 1,033.12, 1,549.64 and 383.68 is: 575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.12 : 1,549.64 = 383.68 : x
  2. Step 2: Convert to fraction form
    1,033.12/1,549.64 = 383.68/x
  3. Step 3: Cross multiply
    1,033.12x = 1,549.64 × 383.68
  4. Step 4: Simplify right side
    1,033.12x = 594,565.88
  5. Step 5: Solve for x
    x = 594,565.88/1,033.12
  6. Step 6: Final answer
    x = 575.51

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Double scale
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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.