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Finding the Fourth Proportional to 1,739.78, 2,401.02 and 953.90

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Solution

The fourth proportional to 1,739.78, 2,401.02 and 953.90 is: 1,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.78 : 2,401.02 = 953.90 : x
  2. Step 2: Convert to fraction form
    1,739.78/2,401.02 = 953.90/x
  3. Step 3: Cross multiply
    1,739.78x = 2,401.02 × 953.90
  4. Step 4: Simplify right side
    1,739.78x = 2,290,332.98
  5. Step 5: Solve for x
    x = 2,290,332.98/1,739.78
  6. Step 6: Final answer
    x = 1,316.45

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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.