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Finding the Fourth Proportional to 1,094.61, 1,639.08 and 920.10

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Solution

The fourth proportional to 1,094.61, 1,639.08 and 920.10 is: 1,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.61 : 1,639.08 = 920.10 : x
  2. Step 2: Convert to fraction form
    1,094.61/1,639.08 = 920.10/x
  3. Step 3: Cross multiply
    1,094.61x = 1,639.08 × 920.10
  4. Step 4: Simplify right side
    1,094.61x = 1,508,117.51
  5. Step 5: Solve for x
    x = 1,508,117.51/1,094.61
  6. Step 6: Final answer
    x = 1,377.77

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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.