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Finding the Fourth Proportional to 1,437.98, 2,156.28 and 657.75

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Solution

The fourth proportional to 1,437.98, 2,156.28 and 657.75 is: 986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.98 : 2,156.28 = 657.75 : x
  2. Step 2: Convert to fraction form
    1,437.98/2,156.28 = 657.75/x
  3. Step 3: Cross multiply
    1,437.98x = 2,156.28 × 657.75
  4. Step 4: Simplify right side
    1,437.98x = 1,418,293.17
  5. Step 5: Solve for x
    x = 1,418,293.17/1,437.98
  6. Step 6: Final answer
    x = 986.31

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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.