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Finding the Fourth Proportional to 1,556.54, 2,333.08 and 631.82

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Solution

The fourth proportional to 1,556.54, 2,333.08 and 631.82 is: 947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.54 : 2,333.08 = 631.82 : x
  2. Step 2: Convert to fraction form
    1,556.54/2,333.08 = 631.82/x
  3. Step 3: Cross multiply
    1,556.54x = 2,333.08 × 631.82
  4. Step 4: Simplify right side
    1,556.54x = 1,474,086.61
  5. Step 5: Solve for x
    x = 1,474,086.61/1,556.54
  6. Step 6: Final answer
    x = 947.03

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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.