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Finding the Fourth Proportional to 1,561.50, 2,342.28 and 407.28

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Solution

The fourth proportional to 1,561.50, 2,342.28 and 407.28 is: 610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.50 : 2,342.28 = 407.28 : x
  2. Step 2: Convert to fraction form
    1,561.50/2,342.28 = 407.28/x
  3. Step 3: Cross multiply
    1,561.50x = 2,342.28 × 407.28
  4. Step 4: Simplify right side
    1,561.50x = 953,963.80
  5. Step 5: Solve for x
    x = 953,963.80/1,561.50
  6. Step 6: Final answer
    x = 610.93

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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.