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Finding the Fourth Proportional to 1,486.46, 2,051.30 and 823.30

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Solution

The fourth proportional to 1,486.46, 2,051.30 and 823.30 is: 1,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.46 : 2,051.30 = 823.30 : x
  2. Step 2: Convert to fraction form
    1,486.46/2,051.30 = 823.30/x
  3. Step 3: Cross multiply
    1,486.46x = 2,051.30 × 823.30
  4. Step 4: Simplify right side
    1,486.46x = 1,688,835.29
  5. Step 5: Solve for x
    x = 1,688,835.29/1,486.46
  6. Step 6: Final answer
    x = 1,136.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.