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Finding the Fourth Proportional to 1,583.77, 2,376.02 and 488.11

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Solution

The fourth proportional to 1,583.77, 2,376.02 and 488.11 is: 732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.77 : 2,376.02 = 488.11 : x
  2. Step 2: Convert to fraction form
    1,583.77/2,376.02 = 488.11/x
  3. Step 3: Cross multiply
    1,583.77x = 2,376.02 × 488.11
  4. Step 4: Simplify right side
    1,583.77x = 1,159,754.40
  5. Step 5: Solve for x
    x = 1,159,754.40/1,583.77
  6. Step 6: Final answer
    x = 732.28

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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.