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Finding the Fourth Proportional to 1,582.56, 2,370.76 and 964.48

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Solution

The fourth proportional to 1,582.56, 2,370.76 and 964.48 is: 1,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.56 : 2,370.76 = 964.48 : x
  2. Step 2: Convert to fraction form
    1,582.56/2,370.76 = 964.48/x
  3. Step 3: Cross multiply
    1,582.56x = 2,370.76 × 964.48
  4. Step 4: Simplify right side
    1,582.56x = 2,286,550.60
  5. Step 5: Solve for x
    x = 2,286,550.60/1,582.56
  6. Step 6: Final answer
    x = 1,444.84

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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.