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Finding the Fourth Proportional to 1,245.39, 1,868.15 and 953.31

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Solution

The fourth proportional to 1,245.39, 1,868.15 and 953.31 is: 1,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.39 : 1,868.15 = 953.31 : x
  2. Step 2: Convert to fraction form
    1,245.39/1,868.15 = 953.31/x
  3. Step 3: Cross multiply
    1,245.39x = 1,868.15 × 953.31
  4. Step 4: Simplify right side
    1,245.39x = 1,780,926.08
  5. Step 5: Solve for x
    x = 1,780,926.08/1,245.39
  6. Step 6: Final answer
    x = 1,430.01

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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.