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Finding the Fourth Proportional to 1,089.02, 1,633.12 and 395.52

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Solution

The fourth proportional to 1,089.02, 1,633.12 and 395.52 is: 593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.02 : 1,633.12 = 395.52 : x
  2. Step 2: Convert to fraction form
    1,089.02/1,633.12 = 395.52/x
  3. Step 3: Cross multiply
    1,089.02x = 1,633.12 × 395.52
  4. Step 4: Simplify right side
    1,089.02x = 645,925.62
  5. Step 5: Solve for x
    x = 645,925.62/1,089.02
  6. Step 6: Final answer
    x = 593.13

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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.