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Finding the Fourth Proportional to 689.94, 1,038.40 and 517.54

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Solution

The fourth proportional to 689.94, 1,038.40 and 517.54 is: 778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.94 : 1,038.40 = 517.54 : x
  2. Step 2: Convert to fraction form
    689.94/1,038.40 = 517.54/x
  3. Step 3: Cross multiply
    689.94x = 1,038.40 × 517.54
  4. Step 4: Simplify right side
    689.94x = 537,413.54
  5. Step 5: Solve for x
    x = 537,413.54/689.94
  6. Step 6: Final answer
    x = 778.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.