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Finding the Fourth Proportional to 1,042.13, 1,437.77 and 599.77

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Solution

The fourth proportional to 1,042.13, 1,437.77 and 599.77 is: 827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.13 : 1,437.77 = 599.77 : x
  2. Step 2: Convert to fraction form
    1,042.13/1,437.77 = 599.77/x
  3. Step 3: Cross multiply
    1,042.13x = 1,437.77 × 599.77
  4. Step 4: Simplify right side
    1,042.13x = 862,329.22
  5. Step 5: Solve for x
    x = 862,329.22/1,042.13
  6. Step 6: Final answer
    x = 827.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.