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Finding the Fourth Proportional to 1,312.30, 1,812.03 and 893.53

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Solution

The fourth proportional to 1,312.30, 1,812.03 and 893.53 is: 1,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.30 : 1,812.03 = 893.53 : x
  2. Step 2: Convert to fraction form
    1,312.30/1,812.03 = 893.53/x
  3. Step 3: Cross multiply
    1,312.30x = 1,812.03 × 893.53
  4. Step 4: Simplify right side
    1,312.30x = 1,619,103.17
  5. Step 5: Solve for x
    x = 1,619,103.17/1,312.30
  6. Step 6: Final answer
    x = 1,233.79

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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.