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Finding the Fourth Proportional to 1,031.77, 1,548.33 and 415.36

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Solution

The fourth proportional to 1,031.77, 1,548.33 and 415.36 is: 623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.77 : 1,548.33 = 415.36 : x
  2. Step 2: Convert to fraction form
    1,031.77/1,548.33 = 415.36/x
  3. Step 3: Cross multiply
    1,031.77x = 1,548.33 × 415.36
  4. Step 4: Simplify right side
    1,031.77x = 643,104.53
  5. Step 5: Solve for x
    x = 643,104.53/1,031.77
  6. Step 6: Final answer
    x = 623.31

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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.