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Finding the Fourth Proportional to 1,055.87, 1,582.42 and 568.35

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Solution

The fourth proportional to 1,055.87, 1,582.42 and 568.35 is: 851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.87 : 1,582.42 = 568.35 : x
  2. Step 2: Convert to fraction form
    1,055.87/1,582.42 = 568.35/x
  3. Step 3: Cross multiply
    1,055.87x = 1,582.42 × 568.35
  4. Step 4: Simplify right side
    1,055.87x = 899,368.41
  5. Step 5: Solve for x
    x = 899,368.41/1,055.87
  6. Step 6: Final answer
    x = 851.78

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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.