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Finding the Fourth Proportional to 698.93, 1,042.42 and 589.93

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Solution

The fourth proportional to 698.93, 1,042.42 and 589.93 is: 879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.93 : 1,042.42 = 589.93 : x
  2. Step 2: Convert to fraction form
    698.93/1,042.42 = 589.93/x
  3. Step 3: Cross multiply
    698.93x = 1,042.42 × 589.93
  4. Step 4: Simplify right side
    698.93x = 614,957.72
  5. Step 5: Solve for x
    x = 614,957.72/698.93
  6. Step 6: Final answer
    x = 879.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.