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Finding the Fourth Proportional to 1,556.90, 2,335.68 and 461.34

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Solution

The fourth proportional to 1,556.90, 2,335.68 and 461.34 is: 692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.90 : 2,335.68 = 461.34 : x
  2. Step 2: Convert to fraction form
    1,556.90/2,335.68 = 461.34/x
  3. Step 3: Cross multiply
    1,556.90x = 2,335.68 × 461.34
  4. Step 4: Simplify right side
    1,556.90x = 1,077,542.61
  5. Step 5: Solve for x
    x = 1,077,542.61/1,556.90
  6. Step 6: Final answer
    x = 692.11

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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.