Home / 1,215.77-1,823.38-702.77

Finding the Fourth Proportional to 1,215.77, 1,823.38 and 702.77

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Solution

The fourth proportional to 1,215.77, 1,823.38 and 702.77 is: 1,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.77 : 1,823.38 = 702.77 : x
  2. Step 2: Convert to fraction form
    1,215.77/1,823.38 = 702.77/x
  3. Step 3: Cross multiply
    1,215.77x = 1,823.38 × 702.77
  4. Step 4: Simplify right side
    1,215.77x = 1,281,405.89
  5. Step 5: Solve for x
    x = 1,281,405.89/1,215.77
  6. Step 6: Final answer
    x = 1,053.99

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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.