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Finding the Fourth Proportional to 660, 990.51 and 583.11

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Solution

The fourth proportional to 660, 990.51 and 583.11 is: 875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    660 : 990.51 = 583.11 : x
  2. Step 2: Convert to fraction form
    660/990.51 = 583.11/x
  3. Step 3: Cross multiply
    660x = 990.51 × 583.11
  4. Step 4: Simplify right side
    660x = 577,576.29
  5. Step 5: Solve for x
    x = 577,576.29/660
  6. Step 6: Final answer
    x = 875.12

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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.