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Finding the Fourth Proportional to 1,088.78, 1,629.01 and 602.17

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Solution

The fourth proportional to 1,088.78, 1,629.01 and 602.17 is: 900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.78 : 1,629.01 = 602.17 : x
  2. Step 2: Convert to fraction form
    1,088.78/1,629.01 = 602.17/x
  3. Step 3: Cross multiply
    1,088.78x = 1,629.01 × 602.17
  4. Step 4: Simplify right side
    1,088.78x = 980,937.63
  5. Step 5: Solve for x
    x = 980,937.63/1,088.78
  6. Step 6: Final answer
    x = 900.96

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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.