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Finding the Fourth Proportional to 1,089.81, 1,627.01 and 925.83

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Solution

The fourth proportional to 1,089.81, 1,627.01 and 925.83 is: 1,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.81 : 1,627.01 = 925.83 : x
  2. Step 2: Convert to fraction form
    1,089.81/1,627.01 = 925.83/x
  3. Step 3: Cross multiply
    1,089.81x = 1,627.01 × 925.83
  4. Step 4: Simplify right side
    1,089.81x = 1,506,330.04
  5. Step 5: Solve for x
    x = 1,506,330.04/1,089.81
  6. Step 6: Final answer
    x = 1,382.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.