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Finding the Fourth Proportional to 1,291.51, 1,937.81 and 624.07

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Solution

The fourth proportional to 1,291.51, 1,937.81 and 624.07 is: 936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.51 : 1,937.81 = 624.07 : x
  2. Step 2: Convert to fraction form
    1,291.51/1,937.81 = 624.07/x
  3. Step 3: Cross multiply
    1,291.51x = 1,937.81 × 624.07
  4. Step 4: Simplify right side
    1,291.51x = 1,209,329.09
  5. Step 5: Solve for x
    x = 1,209,329.09/1,291.51
  6. Step 6: Final answer
    x = 936.37

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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.