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Finding the Fourth Proportional to 1,702.89, 2,552.50 and 835.38

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Solution

The fourth proportional to 1,702.89, 2,552.50 and 835.38 is: 1,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.89 : 2,552.50 = 835.38 : x
  2. Step 2: Convert to fraction form
    1,702.89/2,552.50 = 835.38/x
  3. Step 3: Cross multiply
    1,702.89x = 2,552.50 × 835.38
  4. Step 4: Simplify right side
    1,702.89x = 2,132,307.45
  5. Step 5: Solve for x
    x = 2,132,307.45/1,702.89
  6. Step 6: Final answer
    x = 1,252.17

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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.