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Finding the Fourth Proportional to 1,088.70, 1,632.93 and 319.20

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Solution

The fourth proportional to 1,088.70, 1,632.93 and 319.20 is: 478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.70 : 1,632.93 = 319.20 : x
  2. Step 2: Convert to fraction form
    1,088.70/1,632.93 = 319.20/x
  3. Step 3: Cross multiply
    1,088.70x = 1,632.93 × 319.20
  4. Step 4: Simplify right side
    1,088.70x = 521,231.26
  5. Step 5: Solve for x
    x = 521,231.26/1,088.70
  6. Step 6: Final answer
    x = 478.76

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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.