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Finding the Fourth Proportional to 1,106.84, 1,655.69 and 909.62

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Solution

The fourth proportional to 1,106.84, 1,655.69 and 909.62 is: 1,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.84 : 1,655.69 = 909.62 : x
  2. Step 2: Convert to fraction form
    1,106.84/1,655.69 = 909.62/x
  3. Step 3: Cross multiply
    1,106.84x = 1,655.69 × 909.62
  4. Step 4: Simplify right side
    1,106.84x = 1,506,042.73
  5. Step 5: Solve for x
    x = 1,506,042.73/1,106.84
  6. Step 6: Final answer
    x = 1,360.68

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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.