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Finding the Fourth Proportional to 1,582.35, 2,373.60 and 657.81

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Solution

The fourth proportional to 1,582.35, 2,373.60 and 657.81 is: 986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.35 : 2,373.60 = 657.81 : x
  2. Step 2: Convert to fraction form
    1,582.35/2,373.60 = 657.81/x
  3. Step 3: Cross multiply
    1,582.35x = 2,373.60 × 657.81
  4. Step 4: Simplify right side
    1,582.35x = 1,561,367.68
  5. Step 5: Solve for x
    x = 1,561,367.68/1,582.35
  6. Step 6: Final answer
    x = 986.74

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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.