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Finding the Fourth Proportional to 1,088.85, 1,633.20 and 348.45

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Solution

The fourth proportional to 1,088.85, 1,633.20 and 348.45 is: 522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.85 : 1,633.20 = 348.45 : x
  2. Step 2: Convert to fraction form
    1,088.85/1,633.20 = 348.45/x
  3. Step 3: Cross multiply
    1,088.85x = 1,633.20 × 348.45
  4. Step 4: Simplify right side
    1,088.85x = 569,088.54
  5. Step 5: Solve for x
    x = 569,088.54/1,088.85
  6. Step 6: Final answer
    x = 522.65

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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.