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Finding the Fourth Proportional to 1,065.58, 1,600.18 and 579.58

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Solution

The fourth proportional to 1,065.58, 1,600.18 and 579.58 is: 870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.58 : 1,600.18 = 579.58 : x
  2. Step 2: Convert to fraction form
    1,065.58/1,600.18 = 579.58/x
  3. Step 3: Cross multiply
    1,065.58x = 1,600.18 × 579.58
  4. Step 4: Simplify right side
    1,065.58x = 927,432.32
  5. Step 5: Solve for x
    x = 927,432.32/1,065.58
  6. Step 6: Final answer
    x = 870.35

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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.