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Finding the Fourth Proportional to 1,056.89, 1,585.23 and 363.58

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Solution

The fourth proportional to 1,056.89, 1,585.23 and 363.58 is: 545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.89 : 1,585.23 = 363.58 : x
  2. Step 2: Convert to fraction form
    1,056.89/1,585.23 = 363.58/x
  3. Step 3: Cross multiply
    1,056.89x = 1,585.23 × 363.58
  4. Step 4: Simplify right side
    1,056.89x = 576,357.92
  5. Step 5: Solve for x
    x = 576,357.92/1,056.89
  6. Step 6: Final answer
    x = 545.33

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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.