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Finding the Fourth Proportional to 1,580.57, 2,368.02 and 930.95

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Solution

The fourth proportional to 1,580.57, 2,368.02 and 930.95 is: 1,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.57 : 2,368.02 = 930.95 : x
  2. Step 2: Convert to fraction form
    1,580.57/2,368.02 = 930.95/x
  3. Step 3: Cross multiply
    1,580.57x = 2,368.02 × 930.95
  4. Step 4: Simplify right side
    1,580.57x = 2,204,508.22
  5. Step 5: Solve for x
    x = 2,204,508.22/1,580.57
  6. Step 6: Final answer
    x = 1,394.76

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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.