Home / 1,156.15-1,733.65-462.69

Finding the Fourth Proportional to 1,156.15, 1,733.65 and 462.69

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Solution

The fourth proportional to 1,156.15, 1,733.65 and 462.69 is: 693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.15 : 1,733.65 = 462.69 : x
  2. Step 2: Convert to fraction form
    1,156.15/1,733.65 = 462.69/x
  3. Step 3: Cross multiply
    1,156.15x = 1,733.65 × 462.69
  4. Step 4: Simplify right side
    1,156.15x = 802,139.09
  5. Step 5: Solve for x
    x = 802,139.09/1,156.15
  6. Step 6: Final answer
    x = 693.80

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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.