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Finding the Fourth Proportional to 1,089.18, 1,633.28 and 348.53

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Solution

The fourth proportional to 1,089.18, 1,633.28 and 348.53 is: 522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.18 : 1,633.28 = 348.53 : x
  2. Step 2: Convert to fraction form
    1,089.18/1,633.28 = 348.53/x
  3. Step 3: Cross multiply
    1,089.18x = 1,633.28 × 348.53
  4. Step 4: Simplify right side
    1,089.18x = 569,237.17
  5. Step 5: Solve for x
    x = 569,237.17/1,089.18
  6. Step 6: Final answer
    x = 522.63

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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.