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Finding the Fourth Proportional to 1,582.77, 2,374.56 and 659.04

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Solution

The fourth proportional to 1,582.77, 2,374.56 and 659.04 is: 988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.77 : 2,374.56 = 659.04 : x
  2. Step 2: Convert to fraction form
    1,582.77/2,374.56 = 659.04/x
  3. Step 3: Cross multiply
    1,582.77x = 2,374.56 × 659.04
  4. Step 4: Simplify right side
    1,582.77x = 1,564,930.02
  5. Step 5: Solve for x
    x = 1,564,930.02/1,582.77
  6. Step 6: Final answer
    x = 988.73

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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.