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Finding the Fourth Proportional to 1,088.60, 1,632.84 and 319.16

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Solution

The fourth proportional to 1,088.60, 1,632.84 and 319.16 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.60 : 1,632.84 = 319.16 : x
  2. Step 2: Convert to fraction form
    1,088.60/1,632.84 = 319.16/x
  3. Step 3: Cross multiply
    1,088.60x = 1,632.84 × 319.16
  4. Step 4: Simplify right side
    1,088.60x = 521,137.21
  5. Step 5: Solve for x
    x = 521,137.21/1,088.60
  6. Step 6: Final answer
    x = 478.72

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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.