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Finding the Fourth Proportional to 1,522.68, 2,284.96 and 657.06

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Solution

The fourth proportional to 1,522.68, 2,284.96 and 657.06 is: 986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.68 : 2,284.96 = 657.06 : x
  2. Step 2: Convert to fraction form
    1,522.68/2,284.96 = 657.06/x
  3. Step 3: Cross multiply
    1,522.68x = 2,284.96 × 657.06
  4. Step 4: Simplify right side
    1,522.68x = 1,501,355.82
  5. Step 5: Solve for x
    x = 1,501,355.82/1,522.68
  6. Step 6: Final answer
    x = 986.00

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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.