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Finding the Fourth Proportional to 1,056.92, 1,587.26 and 920.84

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Solution

The fourth proportional to 1,056.92, 1,587.26 and 920.84 is: 1,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.92 : 1,587.26 = 920.84 : x
  2. Step 2: Convert to fraction form
    1,056.92/1,587.26 = 920.84/x
  3. Step 3: Cross multiply
    1,056.92x = 1,587.26 × 920.84
  4. Step 4: Simplify right side
    1,056.92x = 1,461,606.86
  5. Step 5: Solve for x
    x = 1,461,606.86/1,056.92
  6. Step 6: Final answer
    x = 1,382.90

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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.