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Finding the Fourth Proportional to 1,580.04, 2,370.87 and 964.04

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Solution

The fourth proportional to 1,580.04, 2,370.87 and 964.04 is: 1,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.04 : 2,370.87 = 964.04 : x
  2. Step 2: Convert to fraction form
    1,580.04/2,370.87 = 964.04/x
  3. Step 3: Cross multiply
    1,580.04x = 2,370.87 × 964.04
  4. Step 4: Simplify right side
    1,580.04x = 2,285,601.66
  5. Step 5: Solve for x
    x = 2,285,601.66/1,580.04
  6. Step 6: Final answer
    x = 1,446.55

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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.