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Finding the Fourth Proportional to 1,088.76, 1,628.68 and 906.40

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Solution

The fourth proportional to 1,088.76, 1,628.68 and 906.40 is: 1,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.76 : 1,628.68 = 906.40 : x
  2. Step 2: Convert to fraction form
    1,088.76/1,628.68 = 906.40/x
  3. Step 3: Cross multiply
    1,088.76x = 1,628.68 × 906.40
  4. Step 4: Simplify right side
    1,088.76x = 1,476,235.55
  5. Step 5: Solve for x
    x = 1,476,235.55/1,088.76
  6. Step 6: Final answer
    x = 1,355.89

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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.