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Finding the Fourth Proportional to 1,132.76, 1,698.81 and 402.14

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Solution

The fourth proportional to 1,132.76, 1,698.81 and 402.14 is: 603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.76 : 1,698.81 = 402.14 : x
  2. Step 2: Convert to fraction form
    1,132.76/1,698.81 = 402.14/x
  3. Step 3: Cross multiply
    1,132.76x = 1,698.81 × 402.14
  4. Step 4: Simplify right side
    1,132.76x = 683,150.96
  5. Step 5: Solve for x
    x = 683,150.96/1,132.76
  6. Step 6: Final answer
    x = 603.09

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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.