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Finding the Fourth Proportional to 1,237.65, 1,857.21 and 653.07

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Solution

The fourth proportional to 1,237.65, 1,857.21 and 653.07 is: 979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.65 : 1,857.21 = 653.07 : x
  2. Step 2: Convert to fraction form
    1,237.65/1,857.21 = 653.07/x
  3. Step 3: Cross multiply
    1,237.65x = 1,857.21 × 653.07
  4. Step 4: Simplify right side
    1,237.65x = 1,212,888.13
  5. Step 5: Solve for x
    x = 1,212,888.13/1,237.65
  6. Step 6: Final answer
    x = 979.99

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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.