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Finding the Fourth Proportional to 1,042.80, 1,561.50 and 608.10

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Solution

The fourth proportional to 1,042.80, 1,561.50 and 608.10 is: 910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.80 : 1,561.50 = 608.10 : x
  2. Step 2: Convert to fraction form
    1,042.80/1,561.50 = 608.10/x
  3. Step 3: Cross multiply
    1,042.80x = 1,561.50 × 608.10
  4. Step 4: Simplify right side
    1,042.80x = 949,548.15
  5. Step 5: Solve for x
    x = 949,548.15/1,042.80
  6. Step 6: Final answer
    x = 910.58

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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.