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Finding the Fourth Proportional to 893.67, 1,347.08 and 856.62

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Solution

The fourth proportional to 893.67, 1,347.08 and 856.62 is: 1,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.67 : 1,347.08 = 856.62 : x
  2. Step 2: Convert to fraction form
    893.67/1,347.08 = 856.62/x
  3. Step 3: Cross multiply
    893.67x = 1,347.08 × 856.62
  4. Step 4: Simplify right side
    893.67x = 1,153,931.39
  5. Step 5: Solve for x
    x = 1,153,931.39/893.67
  6. Step 6: Final answer
    x = 1,291.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.