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Finding the Fourth Proportional to 1,088.21, 1,632.56 and 357.76

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Solution

The fourth proportional to 1,088.21, 1,632.56 and 357.76 is: 536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.21 : 1,632.56 = 357.76 : x
  2. Step 2: Convert to fraction form
    1,088.21/1,632.56 = 357.76/x
  3. Step 3: Cross multiply
    1,088.21x = 1,632.56 × 357.76
  4. Step 4: Simplify right side
    1,088.21x = 584,054.71
  5. Step 5: Solve for x
    x = 584,054.71/1,088.21
  6. Step 6: Final answer
    x = 536.71

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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.