Home / 1,165.55-1,746.57-702.82

Finding the Fourth Proportional to 1,165.55, 1,746.57 and 702.82

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Solution

The fourth proportional to 1,165.55, 1,746.57 and 702.82 is: 1,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.55 : 1,746.57 = 702.82 : x
  2. Step 2: Convert to fraction form
    1,165.55/1,746.57 = 702.82/x
  3. Step 3: Cross multiply
    1,165.55x = 1,746.57 × 702.82
  4. Step 4: Simplify right side
    1,165.55x = 1,227,519.96
  5. Step 5: Solve for x
    x = 1,227,519.96/1,165.55
  6. Step 6: Final answer
    x = 1,053.17

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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.