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Finding the Fourth Proportional to 1,237.82, 1,708.02 and 740.36

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Solution

The fourth proportional to 1,237.82, 1,708.02 and 740.36 is: 1,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.82 : 1,708.02 = 740.36 : x
  2. Step 2: Convert to fraction form
    1,237.82/1,708.02 = 740.36/x
  3. Step 3: Cross multiply
    1,237.82x = 1,708.02 × 740.36
  4. Step 4: Simplify right side
    1,237.82x = 1,264,541.15
  5. Step 5: Solve for x
    x = 1,264,541.15/1,237.82
  6. Step 6: Final answer
    x = 1,021.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.