Home / 1,156.30-1,733.38-462.80

Finding the Fourth Proportional to 1,156.30, 1,733.38 and 462.80

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Solution

The fourth proportional to 1,156.30, 1,733.38 and 462.80 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.30 : 1,733.38 = 462.80 : x
  2. Step 2: Convert to fraction form
    1,156.30/1,733.38 = 462.80/x
  3. Step 3: Cross multiply
    1,156.30x = 1,733.38 × 462.80
  4. Step 4: Simplify right side
    1,156.30x = 802,208.26
  5. Step 5: Solve for x
    x = 802,208.26/1,156.30
  6. Step 6: Final answer
    x = 693.77

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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.